from numpy import *

sig_r2d6s2 = array(
        [
                1.52777778e-02, 4.58333333e-02, 7.63888889e-02, 1.06944444e-01, 1.37500000e-01, 1.68055556e-01, 1.98611111e-01, 2.29166667e-01, 2.59722222e-01,
                2.90277778e-01, 3.20833333e-01, 3.51388889e-01, 3.81944444e-01, 4.12500000e-01, 4.43055556e-01, 4.73611111e-01, 5.04166667e-01, 5.34722222e-01,
                5.65277778e-01, 5.95833333e-01, 6.26388889e-01, 6.56944444e-01, 6.87500000e-01, 7.18055556e-01, 7.48611111e-01, 7.79166667e-01, 8.09722222e-01,
                8.40277778e-01, 8.70833333e-01, 9.01388889e-01, 9.31944444e-01, 9.62500000e-01, 9.93055556e-01, 1.02361111e+00, 1.05416667e+00, 1.08472222e+00,
                1.11527778e+00, 1.14583333e+00, 1.17638889e+00, 1.20694444e+00, 1.23750000e+00, 1.26805556e+00, 1.29861111e+00, 1.32916667e+00, 1.35972222e+00,
                1.39027778e+00, 1.42083333e+00, 1.45138889e+00, 1.48194444e+00, 1.51250000e+00, 1.54305556e+00, 1.57361111e+00, 1.60416667e+00, 1.63472222e+00,
                1.66527778e+00, 1.69583333e+00, 1.72638889e+00, 1.75694444e+00, 1.78750000e+00, 1.81805556e+00, 1.84861111e+00, 1.87916667e+00, 1.90972222e+00,
                1.94027778e+00, 1.97083333e+00, 2.00138889e+00, 2.03194444e+00, 2.06250000e+00, 2.09305556e+00, 2.12361111e+00, 2.15416667e+00, 2.18472222e+00,
                2.21527778e+00, 2.24583333e+00, 2.27638889e+00, 2.30694444e+00, 2.33750000e+00, 2.36805556e+00, 2.39861111e+00, 2.42916667e+00, 2.45972222e+00,
                2.49027778e+00, 2.52083333e+00, 2.55138889e+00, 2.58194444e+00, 2.61250000e+00, 2.64305556e+00, 2.67361111e+00, 2.70416667e+00, 2.73472222e+00,
                2.76527778e+00, 2.79583333e+00, 2.82638889e+00, 2.85694444e+00, 2.88750000e+00, 2.91805556e+00, 2.94861111e+00, 2.97916667e+00, 3.00972222e+00,
                3.04027778e+00, 3.07083333e+00, 3.10138889e+00, 3.13194444e+00, 3.16250000e+00, 3.19305556e+00, 3.22361111e+00, 3.25416667e+00, 3.28472222e+00,
                3.31527778e+00, 3.34583333e+00, 3.37638889e+00, 3.40694444e+00, 3.43750000e+00, 3.46805556e+00, 3.49861111e+00, 3.52916667e+00, 3.55972222e+00,
                3.59027778e+00, 3.62083333e+00, 3.65138889e+00, 3.68194444e+00, 3.71250000e+00, 3.74305556e+00, 3.77361111e+00, 3.80416667e+00, 3.83472222e+00,
                3.86527778e+00, 3.89583333e+00, 3.92638889e+00, 3.95694444e+00, 3.98750000e+00, 4.01805556e+00, 4.04861111e+00, 4.07916667e+00, 4.10972222e+00,
                4.14027778e+00, 4.17083333e+00, 4.20138889e+00, 4.23194444e+00, 4.26250000e+00, 4.29305556e+00, 4.32361111e+00, 4.35416667e+00, 4.38472222e+00,
                4.41527778e+00, 4.44583333e+00, 4.47638889e+00, 4.50694444e+00, 4.53750000e+00, 4.56805556e+00, 4.59861111e+00, 4.62916667e+00, 4.65972222e+00,
                4.69027778e+00, 4.72083333e+00, 4.75138889e+00, 4.78194444e+00, 4.81250000e+00, 4.84305556e+00, 4.87361111e+00, 4.90416667e+00, 4.93472222e+00,
                4.96527778e+00, 4.99583333e+00, 5.02638889e+00, 5.05694444e+00, 5.08750000e+00, 5.11805556e+00, 5.14861111e+00, 5.17916667e+00, 5.20972222e+00,
                5.24027778e+00, 5.27083333e+00, 5.30138889e+00, 5.33194444e+00, 5.36250000e+00, 5.39305556e+00, 5.42361111e+00, 5.45416667e+00, 5.48472222e+00,
                5.51527778e+00, 5.54583333e+00, 5.57638889e+00, 5.60694444e+00, 5.63750000e+00, 5.66805556e+00, 5.69861111e+00, 5.72916667e+00, 5.75972222e+00,
                5.79027778e+00, 5.82083333e+00, 5.85138889e+00, 5.88194444e+00, 5.91250000e+00, 5.94305556e+00, 5.97361111e+00, 6.00416667e+00, 6.03472222e+00,
                6.06527778e+00, 6.09583333e+00, 6.12638889e+00, 6.15694444e+00, 6.18750000e+00, 6.21805556e+00, 6.24861111e+00, 6.27916667e+00, 6.30972222e+00,
                6.34027778e+00, 6.37083333e+00, 6.40138889e+00, 6.43194444e+00, 6.46250000e+00, 6.49305556e+00, 6.52361111e+00, 6.55416667e+00, 6.58472222e+00,
                6.61527778e+00, 6.64583333e+00, 6.67638889e+00, 6.70694444e+00, 6.73750000e+00, 6.76805556e+00, 6.79861111e+00, 6.82916667e+00, 6.85972222e+00,
                6.89027778e+00, 6.92083333e+00, 6.95138889e+00, 6.98194444e+00, 7.01250000e+00, 7.04305556e+00, 7.07361111e+00, 7.10416667e+00, 7.13472222e+00,
                7.16527778e+00, 7.19583333e+00, 7.22638889e+00, 7.25694444e+00, 7.28750000e+00, 7.31805556e+00, 7.34861111e+00, 7.37916667e+00, 7.40972222e+00,
                7.44027778e+00, 7.47083333e+00, 7.50138889e+00, 7.53194444e+00, 7.56250000e+00, 7.59305556e+00, 7.62361111e+00, 7.65416667e+00, 7.68472222e+00,
                7.71527778e+00, 7.74583333e+00, 7.77638889e+00, 7.80694444e+00, 7.83750000e+00, 7.86805556e+00, 7.89861111e+00, 7.92916667e+00, 7.95972222e+00,
                7.99027778e+00, 8.02083333e+00, 8.05138889e+00, 8.08194444e+00, 8.11250000e+00, 8.14305556e+00, 8.17361111e+00, 8.20416667e+00, 8.23472222e+00,
                8.26527778e+00, 8.29583333e+00, 8.32638889e+00, 8.35694444e+00, 8.38750000e+00, 8.41805556e+00, 8.44861111e+00, 8.47916667e+00, 8.50972222e+00,
                8.54027778e+00, 8.57083333e+00, 8.60138889e+00, 8.63194444e+00, 8.66250000e+00, 8.69305556e+00, 8.72361111e+00, 8.75416667e+00, 8.78472222e+00,
                8.81527778e+00, 8.84583333e+00, 8.87638889e+00, 8.90694444e+00, 8.93750000e+00, 8.96805556e+00, 8.99861111e+00, 9.02916667e+00, 9.05972222e+00,
                9.09027778e+00, 9.12083333e+00, 9.15138889e+00, 9.18194444e+00, 9.21250000e+00, 9.24305556e+00, 9.27361111e+00, 9.30416667e+00, 9.33472222e+00,
                9.36527778e+00, 9.39583333e+00, 9.42638889e+00, 9.45694444e+00, 9.48750000e+00, 9.51805556e+00, 9.54861111e+00, 9.57916667e+00, 9.60972222e+00,
                9.64027778e+00, 9.67083333e+00, 9.70138889e+00, 9.73194444e+00, 9.76250000e+00, 9.79305556e+00, 9.82361111e+00, 9.85416667e+00, 9.88472222e+00,
                9.91527778e+00, 9.94583333e+00, 9.97638889e+00, 1.00069444e+01, 1.00375000e+01, 1.00680556e+01, 1.00986111e+01, 1.01291667e+01, 1.01597222e+01,
                1.01902778e+01, 1.02208333e+01, 1.02513889e+01, 1.02819444e+01, 1.03125000e+01, 1.03430556e+01, 1.03736111e+01, 1.04041667e+01, 1.04347222e+01,
                1.04652778e+01, 1.04958333e+01, 1.05263889e+01, 1.05569444e+01, 1.05875000e+01, 1.06180556e+01, 1.06486111e+01, 1.06791667e+01, 1.07097222e+01,
                1.07402778e+01, 1.07708333e+01, 1.08013889e+01, 1.08319444e+01, 1.08625000e+01, 1.08930556e+01, 1.09236111e+01, 1.09541667e+01, 1.09847222e+01,
                1.10152778e+01, 1.10458333e+01, 1.10763889e+01, 1.11069444e+01, 1.11375000e+01, 1.11680556e+01, 1.11986111e+01, 1.12291667e+01, 1.12597222e+01,
                1.12902778e+01, 1.13208333e+01, 1.13513889e+01, 1.13819444e+01, 1.14125000e+01, 1.14430556e+01, 1.14736111e+01, 1.15041667e+01, 1.15347222e+01,
                1.15652778e+01, 1.15958333e+01, 1.16263889e+01, 1.16569444e+01, 1.16875000e+01, 1.17180556e+01, 1.17486111e+01, 1.17791667e+01, 1.18097222e+01,
                1.18402778e+01, 1.18708333e+01, 1.19013889e+01, 1.19319444e+01, 1.19625000e+01, 1.19930556e+01, 1.20236111e+01, 1.20541667e+01, 1.20847222e+01,
                1.21152778e+01, 1.21458333e+01, 1.21763889e+01, 1.22069444e+01, 1.22375000e+01, 1.22680556e+01, 1.22986111e+01, 1.23291667e+01, 1.23597222e+01,
                1.23902778e+01, 1.24208333e+01, 1.24513889e+01, 1.24819444e+01, 1.25125000e+01, 1.25430556e+01, 1.25736111e+01, 1.26041667e+01, 1.26347222e+01,
                1.26652778e+01, 1.26958333e+01, 1.27263889e+01, 1.27569444e+01, 1.27875000e+01, 1.28180556e+01, 1.28486111e+01, 1.28791667e+01, 1.29097222e+01,
                1.29402778e+01, 1.29708333e+01, 1.30013889e+01, 1.30319444e+01, 1.30625000e+01, 1.30930556e+01, 1.31236111e+01, 1.31541667e+01, 1.31847222e+01,
                1.32152778e+01, 1.32458333e+01, 1.32763889e+01, 1.33069444e+01, 1.33375000e+01, 1.33680556e+01, 1.33986111e+01, 1.34291667e+01, 1.34597222e+01,
                1.34902778e+01, 1.35208333e+01, 1.35513889e+01, 1.35819444e+01, 1.36125000e+01, 1.36430556e+01, 1.36736111e+01, 1.37041667e+01, 1.37347222e+01,
                1.37652778e+01, 1.37958333e+01, 1.38263889e+01, 1.38569444e+01, 1.38875000e+01, 1.39180556e+01, 1.39486111e+01, 1.39791667e+01, 1.40097222e+01,
                1.40402778e+01, 1.40708333e+01, 1.41013889e+01, 1.41319444e+01, 1.41625000e+01, 1.41930556e+01, 1.42236111e+01, 1.42541667e+01, 1.42847222e+01,
                1.43152778e+01, 1.43458333e+01, 1.43763889e+01, 1.44069444e+01, 1.44375000e+01, 1.44680556e+01, 1.44986111e+01, 1.45291667e+01, 1.45597222e+01,
                1.45902778e+01, 1.46208333e+01, 1.46513889e+01, 1.46819444e+01, 1.47125000e+01, 1.47430556e+01, 1.47736111e+01, 1.48041667e+01, 1.48347222e+01,
                1.48652778e+01, 1.48958333e+01, 1.49263889e+01, 1.49569444e+01, 1.49875000e+01, 1.50180556e+01, 1.50486111e+01, 1.50791667e+01, 1.51097222e+01,
                1.51402778e+01, 1.51708333e+01, 1.52013889e+01, 1.52319444e+01, 1.52625000e+01, 1.52930556e+01, 1.53236111e+01, 1.53541667e+01, 1.53847222e+01,
                1.54152778e+01, 1.54458333e+01, 1.54763889e+01, 1.55069444e+01, 1.55375000e+01, 1.55680556e+01, 1.55986111e+01, 1.56291667e+01, 1.56597222e+01,
                1.56902778e+01, 1.57208333e+01, 1.57513889e+01, 1.57819444e+01, 1.58125000e+01, 1.58430556e+01, 1.58736111e+01, 1.59041667e+01, 1.59347222e+01,
                1.59652778e+01, 1.59958333e+01, 1.60263889e+01, 1.60569444e+01, 1.60875000e+01, 1.61180556e+01, 1.61486111e+01, 1.61791667e+01, 1.62097222e+01,
                1.62402778e+01, 1.62708333e+01, 1.63013889e+01, 1.63319444e+01, 1.63625000e+01, 1.63930556e+01, 1.64236111e+01, 1.64541667e+01, 1.64847222e+01,
                1.65152778e+01, 1.65458333e+01, 1.65763889e+01, 1.66069444e+01, 1.66375000e+01, 1.66680556e+01, 1.66986111e+01, 1.67291667e+01, 1.67597222e+01,
                1.67902778e+01, 1.68208333e+01, 1.68513889e+01, 1.68819444e+01, 1.69125000e+01, 1.69430556e+01, 1.69736111e+01, 1.70041667e+01, 1.70347222e+01,
                1.70652778e+01, 1.70958333e+01, 1.71263889e+01, 1.71569444e+01, 1.71875000e+01, 1.72180556e+01, 1.72486111e+01, 1.72791667e+01, 1.73097222e+01,
                1.73402778e+01, 1.73708333e+01, 1.74013889e+01, 1.74319444e+01, 1.74625000e+01, 1.74930556e+01, 1.75236111e+01, 1.75541667e+01, 1.75847222e+01,
                1.76152778e+01, 1.76458333e+01, 1.76763889e+01, 1.77069444e+01, 1.77375000e+01, 1.77680556e+01, 1.77986111e+01, 1.78291667e+01, 1.78597222e+01,
                1.78902778e+01, 1.79208333e+01, 1.79513889e+01, 1.79819444e+01, 1.80125000e+01, 1.80430556e+01, 1.80736111e+01, 1.81041667e+01, 1.81347222e+01,
                1.81652778e+01, 1.81958333e+01, 1.82263889e+01, 1.82569444e+01, 1.82875000e+01, 1.83180556e+01, 1.83486111e+01, 1.83791667e+01, 1.84097222e+01,
                1.84402778e+01, 1.84708333e+01, 1.85013889e+01, 1.85319444e+01, 1.85625000e+01, 1.85930556e+01, 1.86236111e+01, 1.86541667e+01, 1.86847222e+01,
                1.87152778e+01, 1.87458333e+01, 1.87763889e+01, 1.88069444e+01, 1.88375000e+01, 1.88680556e+01, 1.88986111e+01, 1.89291667e+01, 1.89597222e+01,
                1.89902778e+01, 1.90208333e+01, 1.90513889e+01, 1.90819444e+01, 1.91125000e+01, 1.91430556e+01, 1.91736111e+01, 1.92041667e+01, 1.92347222e+01,
                1.92652778e+01, 1.92958333e+01, 1.93263889e+01, 1.93569444e+01, 1.93875000e+01, 1.94180556e+01, 1.94486111e+01, 1.94791667e+01, 1.95097222e+01,
                1.95402778e+01, 1.95708333e+01, 1.96013889e+01, 1.96319444e+01, 1.96625000e+01, 1.96930556e+01, 1.97236111e+01, 1.97541667e+01, 1.97847222e+01,
                1.98152778e+01, 1.98458333e+01, 1.98763889e+01, 1.99069444e+01, 1.99375000e+01, 1.99680556e+01, 1.99986111e+01, 2.00291667e+01, 2.00597222e+01,
                2.00902778e+01, 2.01208333e+01, 2.01513889e+01, 2.01819444e+01, 2.02125000e+01, 2.02430556e+01, 2.02736111e+01, 2.03041667e+01, 2.03347222e+01,
                2.03652778e+01, 2.03958333e+01, 2.04263889e+01, 2.04569444e+01, 2.04875000e+01, 2.05180556e+01, 2.05486111e+01, 2.05791667e+01, 2.06097222e+01,
                2.06402778e+01, 2.06708333e+01, 2.07013889e+01, 2.07319444e+01, 2.07625000e+01, 2.07930556e+01, 2.08236111e+01, 2.08541667e+01, 2.08847222e+01,
                2.09152778e+01, 2.09458333e+01, 2.09763889e+01, 2.10069444e+01, 2.10375000e+01, 2.10680556e+01, 2.10986111e+01, 2.11291667e+01, 2.11597222e+01,
                2.11902778e+01, 2.12208333e+01, 2.12513889e+01, 2.12819444e+01, 2.13125000e+01, 2.13430556e+01, 2.13736111e+01, 2.14041667e+01, 2.14347222e+01,
                2.14652778e+01, 2.14958333e+01, 2.15263889e+01, 2.15569444e+01, 2.15875000e+01, 2.16180556e+01, 2.16486111e+01, 2.16791667e+01, 2.17097222e+01,
                2.17402778e+01, 2.17708333e+01, 2.18013889e+01, 2.18319444e+01, 2.18625000e+01, 2.18930556e+01, 2.19236111e+01, 2.19541667e+01, 2.19847222e+01,
                2.20152778e+01, 2.20458333e+01, 2.20763889e+01, 2.21069444e+01, 2.21375000e+01, 2.21680556e+01, 2.21986111e+01, 2.22291667e+01, 2.22597222e+01,
                2.22902778e+01, 2.23208333e+01, 2.23513889e+01, 2.23819444e+01, 2.24125000e+01, 2.24430556e+01, 2.24736111e+01, 2.25041667e+01, 2.25347222e+01,
                2.25652778e+01, 2.25958333e+01, 2.26263889e+01, 2.26569444e+01, 2.26875000e+01, 2.27180556e+01, 2.27486111e+01, 2.27791667e+01, 2.28097222e+01,
                2.28402778e+01, 2.28708333e+01, 2.29013889e+01, 2.29319444e+01, 2.29625000e+01, 2.29930556e+01, 2.30236111e+01, 2.30541667e+01, 2.30847222e+01,
                2.31152778e+01, 2.31458333e+01, 2.31763889e+01, 2.32069444e+01, 2.32375000e+01, 2.32680556e+01, 2.32986111e+01, 2.33291667e+01, 2.33597222e+01,
                2.33902778e+01, 2.34208333e+01, 2.34513889e+01, 2.34819444e+01, 2.35125000e+01, 2.35430556e+01, 2.35736111e+01, 2.36041667e+01, 2.36347222e+01,
                2.36652778e+01, 2.36958333e+01, 2.37263889e+01, 2.37569444e+01, 2.37875000e+01, 2.38180556e+01, 2.38486111e+01, 2.38791667e+01, 2.39097222e+01,
                2.39402778e+01, 2.39708333e+01, 2.40013889e+01, 2.40319444e+01, 2.40625000e+01, 2.40930556e+01, 2.41236111e+01, 2.41541667e+01, 2.41847222e+01,
                2.42152778e+01, 2.42458333e+01, 2.42763889e+01, 2.43069444e+01, 2.43375000e+01, 2.43680556e+01, 2.43986111e+01, 2.44291667e+01, 2.44597222e+01,
                2.44902778e+01, 2.45208333e+01, 2.45513889e+01, 2.45819444e+01, 2.46125000e+01, 2.46430556e+01, 2.46736111e+01, 2.47041667e+01, 2.47347222e+01,
                2.47652778e+01, 2.47958333e+01, 2.48263889e+01, 2.48569444e+01, 2.48875000e+01, 2.49180556e+01, 2.49486111e+01, 2.49791667e+01, 2.50097222e+01,
                2.50402778e+01, 2.50708333e+01, 2.51013889e+01, 2.51319444e+01, 2.51625000e+01, 2.51930556e+01, 2.52236111e+01, 2.52541667e+01, 2.52847222e+01,
                2.53152778e+01, 2.53458333e+01, 2.53763889e+01, 2.54069444e+01, 2.54375000e+01, 2.54680556e+01, 2.54986111e+01, 2.55291667e+01, 2.55597222e+01,
                2.55902778e+01, 2.56208333e+01, 2.56513889e+01, 2.56819444e+01, 2.57125000e+01, 2.57430556e+01, 2.57736111e+01, 2.58041667e+01, 2.58347222e+01,
                2.58652778e+01, 2.58958333e+01, 2.59263889e+01, 2.59569444e+01, 2.59875000e+01, 2.60180556e+01, 2.60486111e+01, 2.60791667e+01, 2.61097222e+01,
                2.61402778e+01, 2.61708333e+01, 2.62013889e+01, 2.62319444e+01, 2.62625000e+01, 2.62930556e+01, 2.63236111e+01, 2.63541667e+01, 2.63847222e+01,
                2.64152778e+01, 2.64458333e+01, 2.64763889e+01, 2.65069444e+01, 2.65375000e+01, 2.65680556e+01, 2.65986111e+01, 2.66291667e+01, 2.66597222e+01,
                2.66902778e+01, 2.67208333e+01, 2.67513889e+01, 2.67819444e+01, 2.68125000e+01, 2.68430556e+01, 2.68736111e+01, 2.69041667e+01, 2.69347222e+01,
                2.69652778e+01, 2.69958333e+01, 2.70263889e+01, 2.70569444e+01, 2.70875000e+01, 2.71180556e+01, 2.71486111e+01, 2.71791667e+01, 2.72097222e+01,
                2.72402778e+01, 2.72708333e+01, 2.73013889e+01, 2.73319444e+01, 2.73625000e+01, 2.73930556e+01, 2.74236111e+01, 2.74541667e+01, 2.74847222e+01
        ]
)
vxFluid_r2d6s2 = array(
        [
                0.00000000e+00, 1.94512899e-02, 2.67239940e-02, 3.02619097e-02, 3.06628639e-02, 2.84049733e-02, 2.39190283e-02, 1.77765890e-02, 1.09490095e-02,
                4.85562699e-03, 1.20909741e-03, 1.17609498e-04, 2.65263480e-05, 2.72789383e-05, 2.85978212e-05, 3.04765007e-05, 3.60823343e-05, 1.16248456e-03,
                5.58960908e-03, 1.26286827e-02, 2.02794697e-02, 2.68303206e-02, 3.11480329e-02, 3.25880908e-02, 3.10507458e-02, 2.69212485e-02, 2.09916856e-02,
                1.44211508e-02, 8.55781575e-03, 4.45646077e-03, 1.81739557e-03, 5.81056129e-04, 8.94108218e-05, 6.71220029e-05, 6.92690480e-05, 9.80520281e-05,
                1.17708895e-03, 3.90769788e-03, 8.79816991e-03, 1.50437946e-02, 2.10598320e-02, 2.55498577e-02, 2.77777915e-02, 2.75159194e-02, 2.50025288e-02,
                2.08665641e-02, 1.60273202e-02, 1.15865696e-02, 7.62068125e-03, 4.44579992e-03, 2.41851789e-03, 1.18585724e-03, 4.51599021e-04, 1.58583137e-04,
                7.07434799e-04, 2.28621871e-03, 4.60491987e-03, 7.53000027e-03, 1.09941610e-02, 1.44144682e-02, 1.74268130e-02, 1.95374612e-02, 2.03063673e-02,
                1.96782679e-02, 1.79870162e-02, 1.56973757e-02, 1.25182790e-02, 9.01200935e-03, 6.45025777e-03, 4.15961397e-03, 2.29395876e-03, 9.16397123e-04,
                5.78843523e-04, 1.76546368e-03, 3.61867563e-03, 5.76299814e-03, 7.94507940e-03, 9.74744161e-03, 1.08920003e-02, 1.11314068e-02, 1.04318409e-02,
                9.00064822e-03, 7.21782186e-03, 5.62536373e-03, 4.26401499e-03, 3.00380927e-03, 1.90887256e-03, 1.12288353e-03, 5.91268533e-04, 2.66018979e-04,
                2.89602273e-04, 9.95415857e-04, 2.44137298e-03, 4.27140905e-03, 6.16527467e-03, 8.00206040e-03, 9.47938702e-03, 1.03853985e-02, 1.11718956e-02,
                1.19986471e-02, 1.24250856e-02, 1.29154457e-02, 1.31366341e-02, 1.37760270e-02, 1.37299227e-02, 1.24477817e-02, 1.03052329e-02, 7.70248360e-03,
                5.25906930e-03, 3.62126437e-03, 3.04921994e-03, 3.61098234e-03, 4.72783160e-03, 5.78410678e-03, 6.56479593e-03, 6.95089133e-03, 6.97191451e-03,
                7.09342004e-03, 7.53063756e-03, 8.20501849e-03, 8.74286798e-03, 9.07775684e-03, 9.19898366e-03, 8.85803126e-03, 8.15741121e-03, 7.36002668e-03,
                6.67295077e-03, 6.06305800e-03, 5.71522515e-03, 5.51140793e-03, 5.30794278e-03, 5.03520250e-03, 4.54903025e-03, 3.87629668e-03, 3.26745305e-03,
                2.78477790e-03, 2.48741303e-03, 2.12294418e-03, 1.56326687e-03, 1.01856195e-03, 6.39460739e-04, 4.85262279e-04, 4.25938796e-04, 4.45608718e-04,
                6.14615774e-04, 1.26634296e-03, 2.35577610e-03, 3.56383283e-03, 4.70950157e-03, 5.56571148e-03, 5.93435767e-03, 5.79416524e-03, 5.38908824e-03,
                4.86761535e-03, 4.38873694e-03, 4.04524043e-03, 3.73840859e-03, 3.60538930e-03, 3.56820041e-03, 3.34674944e-03, 2.94661166e-03, 2.48347469e-03,
                2.20553385e-03, 2.35619857e-03, 2.95559076e-03, 3.83448777e-03, 4.59877741e-03, 5.16217398e-03, 5.36439317e-03, 5.17169759e-03, 4.67506953e-03,
                4.04835271e-03, 3.47153185e-03, 2.97888767e-03, 2.68418973e-03, 2.65704988e-03, 2.84545946e-03, 3.11948428e-03, 3.40675353e-03, 3.68706558e-03,
                3.96203700e-03, 4.31564872e-03, 4.77931581e-03, 5.15123532e-03, 5.32093905e-03, 5.32306199e-03, 5.19291235e-03, 5.03312653e-03, 4.82278511e-03,
                4.53262337e-03, 4.23281449e-03, 4.03817789e-03, 3.96630521e-03, 3.97729865e-03, 4.00253816e-03, 4.00164939e-03, 3.92454922e-03, 3.78859520e-03,
                3.67460583e-03, 3.66863664e-03, 3.79803192e-03, 3.99311171e-03, 4.15317042e-03, 4.25812701e-03, 4.41037104e-03, 4.63490561e-03, 4.94135627e-03,
                5.26514025e-03, 5.61194343e-03, 6.04791433e-03, 6.49064809e-03, 6.94403600e-03, 7.40245930e-03, 7.82810472e-03, 8.19340304e-03, 8.50184573e-03,
                8.60776834e-03, 8.48904261e-03, 8.22440509e-03, 7.95206698e-03, 7.75063019e-03, 7.72233101e-03, 7.86374005e-03, 8.16130564e-03, 8.59423050e-03,
                9.15786452e-03, 9.85128537e-03, 1.08008515e-02, 1.20022315e-02, 1.33079390e-02, 1.45044341e-02, 1.53471162e-02, 1.56451992e-02, 1.53475348e-02,
                1.45769537e-02, 1.36047241e-02, 1.27559809e-02, 1.22684313e-02, 1.22314206e-02, 1.25868290e-02, 1.32115514e-02, 1.40422466e-02, 1.51622094e-02,
                1.66034548e-02, 1.85915587e-02, 2.10821062e-02, 2.37740806e-02, 2.62482799e-02, 2.79643273e-02, 2.85922615e-02, 2.80619866e-02, 2.66251286e-02,
                2.47739166e-02, 2.30520919e-02, 2.20333690e-02, 2.18721258e-02, 2.23387665e-02, 2.31314540e-02, 2.40766202e-02, 2.52803960e-02, 2.69601639e-02,
                2.94548867e-02, 3.28574565e-02, 3.67985895e-02, 4.07142273e-02, 4.41331911e-02, 4.66946043e-02, 4.80969884e-02, 4.82262643e-02, 4.72982952e-02,
                4.58367394e-02, 4.44131910e-02, 4.35683959e-02, 4.37023639e-02, 4.47788219e-02, 4.64261859e-02, 4.85025980e-02, 5.10851922e-02, 5.43482055e-02,
                5.82300024e-02, 6.24409554e-02, 6.66954056e-02, 7.07644763e-02, 7.44838862e-02, 7.77287989e-02, 8.04032354e-02, 8.24350065e-02, 8.37932102e-02,
                8.45592030e-02, 8.50418299e-02, 8.57347431e-02, 8.70140927e-02, 8.91375843e-02, 9.20899888e-02, 9.58190755e-02, 1.00313197e-01, 1.05587880e-01,
                1.11603184e-01, 1.18331397e-01, 1.25740172e-01, 1.33803454e-01, 1.42501261e-01, 1.51812895e-01, 1.61716039e-01, 1.72186950e-01, 1.83200009e-01,
                1.94727606e-01, 2.06740738e-01, 2.19208977e-01, 2.32101276e-01, 2.45385212e-01, 2.59028762e-01, 2.73000443e-01, 2.87269722e-01, 3.01806581e-01,
                3.16581955e-01, 3.31568322e-01, 3.46739322e-01, 3.62070361e-01, 3.77538246e-01, 3.93121079e-01, 4.08798521e-01, 4.24551697e-01, 4.40363462e-01,
                4.56218120e-01, 4.72100905e-01, 4.87998511e-01, 5.03898863e-01, 5.19791330e-01, 5.35666110e-01, 5.51514431e-01, 5.67328546e-01, 5.83101756e-01,
                5.98828019e-01, 6.14501931e-01, 6.30118959e-01, 6.45674705e-01, 6.61165199e-01, 6.76586865e-01, 6.91936609e-01, 7.07211828e-01, 7.22409939e-01,
                7.37528497e-01, 7.52565286e-01, 7.67518282e-01, 7.82385835e-01, 7.97166198e-01, 8.11857686e-01, 8.26458569e-01, 8.40967042e-01, 8.55381508e-01,
                8.69700670e-01, 8.83922899e-01, 8.98046660e-01, 9.12070827e-01, 9.25994301e-01, 9.39816093e-01, 9.53534894e-01, 9.67149524e-01, 9.80658634e-01,
                9.94061003e-01, 1.00735540e+00, 1.02054076e+00, 1.03361580e+00, 1.04657955e+00, 1.05943107e+00, 1.07216920e+00, 1.08479296e+00, 1.09730136e+00,
                1.10969340e+00, 1.12196811e+00, 1.13412443e+00, 1.14616156e+00, 1.15807877e+00, 1.16987507e+00, 1.18154958e+00, 1.19310141e+00, 1.20452976e+00,
                1.21583399e+00, 1.22701329e+00, 1.23806709e+00, 1.24899469e+00, 1.25979557e+00, 1.27046931e+00, 1.28101553e+00, 1.29143377e+00, 1.30172391e+00,
                1.31188598e+00, 1.32192014e+00, 1.33182658e+00, 1.34160541e+00, 1.35125693e+00, 1.36078147e+00, 1.37017947e+00, 1.37945149e+00, 1.38859819e+00,
                1.39762035e+00, 1.40651894e+00, 1.41529493e+00, 1.42394929e+00, 1.43248318e+00, 1.44089779e+00, 1.44919449e+00, 1.45737465e+00, 1.46543969e+00,
                1.47339118e+00, 1.48123064e+00, 1.48895964e+00, 1.49657983e+00, 1.50409286e+00, 1.51150044e+00, 1.51880433e+00, 1.52600627e+00, 1.53310808e+00,
                1.54011159e+00, 1.54701861e+00, 1.55383098e+00, 1.56055048e+00, 1.56717892e+00, 1.57371811e+00, 1.58016989e+00, 1.58653606e+00, 1.59281839e+00,
                1.59901859e+00, 1.60513839e+00, 1.61117944e+00, 1.61714344e+00, 1.62303198e+00, 1.62884667e+00, 1.63458906e+00, 1.64026070e+00, 1.64586303e+00,
                1.65139753e+00, 1.65686560e+00, 1.66226864e+00, 1.66760800e+00, 1.67288502e+00, 1.67810096e+00, 1.68325707e+00, 1.68835455e+00, 1.69339455e+00,
                1.69837823e+00, 1.70330671e+00, 1.70818107e+00, 1.71300235e+00, 1.71777156e+00, 1.72248971e+00, 1.72715777e+00, 1.73177666e+00, 1.73634731e+00,
                1.74087059e+00, 1.74534736e+00, 1.74977847e+00, 1.75416475e+00, 1.75850698e+00, 1.76280596e+00, 1.76706242e+00, 1.77127712e+00, 1.77545077e+00,
                1.77958405e+00, 1.78367766e+00, 1.78773225e+00, 1.79174848e+00, 1.79572697e+00, 1.79966836e+00, 1.80357322e+00, 1.80744216e+00, 1.81127574e+00,
                1.81507451e+00, 1.81883903e+00, 1.82256983e+00, 1.82626741e+00, 1.82993230e+00, 1.83356497e+00, 1.83716592e+00, 1.84073562e+00, 1.84427453e+00,
                1.84778309e+00, 1.85126175e+00, 1.85471094e+00, 1.85813108e+00, 1.86152258e+00, 1.86488584e+00, 1.86822127e+00, 1.87152924e+00, 1.87481014e+00,
                1.87806433e+00, 1.88129218e+00, 1.88449404e+00, 1.88767027e+00, 1.89082119e+00, 1.89394715e+00, 1.89704846e+00, 1.90012546e+00, 1.90317846e+00,
                1.90620776e+00, 1.90921367e+00, 1.91219649e+00, 1.91515650e+00, 1.91809399e+00, 1.92100925e+00, 1.92390255e+00, 1.92677415e+00, 1.92962432e+00,
                1.93245332e+00, 1.93526141e+00, 1.93804884e+00, 1.94081585e+00, 1.94356268e+00, 1.94628957e+00, 1.94899675e+00, 1.95168446e+00, 1.95435291e+00,
                1.95700233e+00, 1.95963293e+00, 1.96224493e+00, 1.96483853e+00, 1.96741395e+00, 1.96997138e+00, 1.97251102e+00, 1.97503306e+00, 1.97753771e+00,
                1.98002514e+00, 1.98249555e+00, 1.98494912e+00, 1.98738601e+00, 1.98980642e+00, 1.99221052e+00, 1.99459847e+00, 1.99697045e+00, 1.99932661e+00,
                2.00166713e+00, 2.00399216e+00, 2.00630187e+00, 2.00859640e+00, 2.01087590e+00, 2.01314054e+00, 2.01539045e+00, 2.01762578e+00, 2.01984668e+00,
                2.02205329e+00, 2.02424575e+00, 2.02642418e+00, 2.02858874e+00, 2.03073955e+00, 2.03287674e+00, 2.03500044e+00, 2.03711078e+00, 2.03920789e+00,
                2.04129188e+00, 2.04336289e+00, 2.04542102e+00, 2.04746640e+00, 2.04949915e+00, 2.05151937e+00, 2.05352719e+00, 2.05552271e+00, 2.05750605e+00,
                2.05947730e+00, 2.06143659e+00, 2.06338401e+00, 2.06531967e+00, 2.06724367e+00, 2.06915612e+00, 2.07105710e+00, 2.07294673e+00, 2.07482510e+00,
                2.07669230e+00, 2.07854842e+00, 2.08039357e+00, 2.08222783e+00, 2.08405130e+00, 2.08586405e+00, 2.08766619e+00, 2.08945780e+00, 2.09123897e+00,
                2.09300977e+00, 2.09477030e+00, 2.09652064e+00, 2.09826086e+00, 2.09999105e+00, 2.10171129e+00, 2.10342166e+00, 2.10512223e+00, 2.10681309e+00,
                2.10849430e+00, 2.11016594e+00, 2.11182809e+00, 2.11348081e+00, 2.11512419e+00, 2.11675828e+00, 2.11838317e+00, 2.11999892e+00, 2.12160560e+00,
                2.12320327e+00, 2.12479201e+00, 2.12637188e+00, 2.12794294e+00, 2.12950526e+00, 2.13105890e+00, 2.13260393e+00, 2.13414041e+00, 2.13566840e+00,
                2.13718795e+00, 2.13869914e+00, 2.14020201e+00, 2.14169663e+00, 2.14318306e+00, 2.14466135e+00, 2.14613156e+00, 2.14759374e+00, 2.14904795e+00,
                2.15049425e+00, 2.15193268e+00, 2.15336331e+00, 2.15478618e+00, 2.15620135e+00, 2.15760887e+00, 2.15900878e+00, 2.16040115e+00, 2.16178601e+00,
                2.16316343e+00, 2.16453344e+00, 2.16589609e+00, 2.16725144e+00, 2.16859953e+00, 2.16994041e+00, 2.17127412e+00, 2.17260070e+00, 2.17392021e+00,
                2.17523269e+00, 2.17653818e+00, 2.17783673e+00, 2.17912837e+00, 2.18041316e+00, 2.18169112e+00, 2.18296232e+00, 2.18422678e+00, 2.18548454e+00,
                2.18673566e+00, 2.18798016e+00, 2.18921809e+00, 2.19044948e+00, 2.19167438e+00, 2.19289283e+00, 2.19410485e+00, 2.19531049e+00, 2.19650979e+00,
                2.19770278e+00, 2.19888950e+00, 2.20006998e+00, 2.20124426e+00, 2.20241238e+00, 2.20357436e+00, 2.20473025e+00, 2.20588008e+00, 2.20702388e+00,
                2.20816169e+00, 2.20929353e+00, 2.21041945e+00, 2.21153947e+00, 2.21265362e+00, 2.21376194e+00, 2.21486446e+00, 2.21596121e+00, 2.21705222e+00,
                2.21813751e+00, 2.21921713e+00, 2.22029110e+00, 2.22135945e+00, 2.22242221e+00, 2.22347940e+00, 2.22453106e+00, 2.22557721e+00, 2.22661789e+00,
                2.22765312e+00, 2.22868292e+00, 2.22970733e+00, 2.23072637e+00, 2.23174007e+00, 2.23274845e+00, 2.23375154e+00, 2.23474937e+00, 2.23574196e+00,
                2.23672934e+00, 2.23771153e+00, 2.23868855e+00, 2.23966044e+00, 2.24062721e+00, 2.24158888e+00, 2.24254550e+00, 2.24349706e+00, 2.24444361e+00,
                2.24538516e+00, 2.24632173e+00, 2.24725336e+00, 2.24818005e+00, 2.24910183e+00, 2.25001873e+00, 2.25093076e+00, 2.25183795e+00, 2.25274032e+00,
                2.25363789e+00, 2.25453067e+00, 2.25541870e+00, 2.25630199e+00, 2.25718056e+00, 2.25805442e+00, 2.25892361e+00, 2.25978814e+00, 2.26064802e+00,
                2.26150329e+00, 2.26235395e+00, 2.26320002e+00, 2.26404153e+00, 2.26487849e+00, 2.26571092e+00, 2.26653884e+00, 2.26736226e+00, 2.26818121e+00,
                2.26899569e+00, 2.26980573e+00, 2.27061135e+00, 2.27141256e+00, 2.27220937e+00, 2.27300181e+00, 2.27378988e+00, 2.27457362e+00, 2.27535302e+00,
                2.27612811e+00, 2.27689890e+00, 2.27766541e+00, 2.27842765e+00, 2.27918564e+00, 2.27993939e+00, 2.28068892e+00, 2.28143424e+00, 2.28217536e+00,
                2.28291231e+00, 2.28364508e+00, 2.28437370e+00, 2.28509818e+00, 2.28581854e+00, 2.28653478e+00, 2.28724692e+00, 2.28795497e+00, 2.28865894e+00,
                2.28935886e+00, 2.29005472e+00, 2.29074654e+00, 2.29143434e+00, 2.29211812e+00, 2.29279790e+00, 2.29347369e+00, 2.29414550e+00, 2.29481333e+00,
                2.29547721e+00, 2.29613714e+00, 2.29679314e+00, 2.29744520e+00, 2.29809335e+00, 2.29873760e+00, 2.29937794e+00, 2.30001440e+00, 2.30064699e+00,
                2.30127570e+00, 2.30190056e+00, 2.30252157e+00, 2.30313874e+00, 2.30375207e+00, 2.30436159e+00, 2.30496729e+00, 2.30556918e+00, 2.30616727e+00,
                2.30676158e+00, 2.30735210e+00, 2.30793885e+00, 2.30852183e+00, 2.30910105e+00, 2.30967651e+00, 2.31024823e+00, 2.31081621e+00, 2.31138046e+00,
                2.31194098e+00, 2.31249777e+00, 2.31305086e+00, 2.31360023e+00, 2.31414590e+00, 2.31468788e+00, 2.31522616e+00, 2.31576075e+00, 2.31629166e+00,
                2.31681889e+00, 2.31734244e+00, 2.31786233e+00, 2.31837855e+00, 2.31889111e+00, 2.31940002e+00, 2.31990526e+00, 2.32040686e+00, 2.32090480e+00,
                2.32139910e+00, 2.32188976e+00, 2.32237678e+00, 2.32286015e+00, 2.32333989e+00, 2.32381600e+00, 2.32428847e+00, 2.32475730e+00, 2.32522251e+00,
                2.32568408e+00, 2.32614203e+00, 2.32659634e+00, 2.32704702e+00, 2.32749406e+00, 2.32793748e+00, 2.32837726e+00, 2.32881341e+00, 2.32924592e+00,
                2.32967479e+00, 2.33010002e+00, 2.33052161e+00, 2.33093955e+00, 2.33135384e+00, 2.33176448e+00, 2.33217146e+00, 2.33257478e+00, 2.33297444e+00,
                2.33337042e+00, 2.33376273e+00, 2.33415135e+00, 2.33453628e+00, 2.33491752e+00, 2.33529506e+00, 2.33566888e+00, 2.33603899e+00, 2.33640536e+00,
                2.33676800e+00, 2.33712689e+00, 2.33748203e+00, 2.33783339e+00, 2.33818098e+00, 2.33852477e+00, 2.33886476e+00, 2.33920092e+00, 2.33953326e+00,
                2.33986174e+00, 2.34018636e+00, 2.34050710e+00, 2.34082394e+00, 2.34113686e+00, 2.34144584e+00, 2.34175087e+00, 2.34205191e+00, 2.34234895e+00,
                2.34264197e+00, 2.34293093e+00, 2.34321581e+00, 2.34349659e+00, 2.34377323e+00, 2.34404570e+00, 2.34431397e+00, 2.34457801e+00, 2.34483778e+00,
                2.34509323e+00, 2.34534433e+00, 2.34559103e+00, 2.34583330e+00, 2.34607107e+00, 2.34630429e+00, 2.34653292e+00, 2.34675689e+00, 2.34697613e+00,
                2.34719059e+00, 2.34740018e+00, 2.34760482e+00, 2.34780444e+00, 2.34799894e+00, 2.34818823e+00, 2.34837218e+00, 2.34855069e+00, 2.34872363e+00,
                2.34889085e+00, 2.34905219e+00, 2.34920749e+00, 2.34935652e+00, 2.34949909e+00, 2.34963491e+00, 2.34976370e+00, 2.34988511e+00, 2.34999871e+00,
                2.35010399e+00, 2.35020029e+00, 2.35028678e+00, 2.35036227e+00, 2.35042496e+00, 2.35047159e+00, 2.35049237e+00, 2.35045640e+00, 2.35045640e+00
        ]
)
vxPart_r2d6s2 = array(
        [
                -1.93991166e-09, 8.76220762e-09, 2.93720141e-08, 6.31049431e-08, 1.14810697e-07, 1.83061861e-07, 2.57407692e-07, 3.49883128e-07, 4.50657453e-07,
                5.61352264e-07, 6.68513257e-07, 8.03312496e-07, 9.53440294e-07, 1.10293228e-06, 1.27408598e-06, 1.43852394e-06, 1.59774615e-06, 1.76938045e-06,
                1.93589829e-06, 2.06985070e-06, 2.17085153e-06, 2.26200815e-06, 2.37154566e-06, 2.50975068e-06, 2.66724794e-06, 2.82506120e-06, 2.97188555e-06,
                3.10427247e-06, 3.24041777e-06, 3.37660105e-06, 3.52064258e-06, 3.65035571e-06, 3.76947849e-06, 3.89679063e-06, 4.04981232e-06, 4.22011352e-06,
                4.43074377e-06, 4.65996126e-06, 4.91601116e-06, 5.15684096e-06, 5.38640273e-06, 5.66930253e-06, 5.97186704e-06, 6.29742642e-06, 6.66074730e-06,
                7.09170800e-06, 7.59594118e-06, 8.16842571e-06, 8.76392208e-06, 9.38221046e-06, 9.99925497e-06, 1.06307927e-05, 1.12284010e-05, 1.18044758e-05,
                1.23453263e-05, 1.29322457e-05, 1.35339072e-05, 1.41240517e-05, 1.46966358e-05, 1.52362591e-05, 1.57478104e-05, 1.62563126e-05, 1.67850402e-05,
                1.72973751e-05, 1.78417215e-05, 1.84153958e-05, 1.90670155e-05, 1.97428948e-05, 2.04794482e-05, 2.12661718e-05, 2.21039958e-05, 2.29920353e-05,
                2.38424993e-05, 2.46560174e-05, 2.54965638e-05, 2.63365293e-05, 2.71878170e-05, 2.80054494e-05, 2.88404839e-05, 2.96617785e-05, 3.05506662e-05,
                3.14872830e-05, 3.24216251e-05, 3.33624765e-05, 3.43152325e-05, 3.53165942e-05, 3.63796196e-05, 3.74986511e-05, 3.86565463e-05, 3.98362006e-05,
                4.10157455e-05, 4.22233380e-05, 4.34745011e-05, 4.47590370e-05, 4.60645241e-05, 4.75227258e-05, 4.90511641e-05, 5.06420947e-05, 5.22917741e-05,
                5.40836607e-05, 5.59694909e-05, 5.79292658e-05, 5.99394593e-05, 6.21317901e-05, 6.43788371e-05, 6.66125322e-05, 6.88007511e-05, 7.10151005e-05,
                7.32495814e-05, 7.55252572e-05, 7.78778311e-05, 8.01587663e-05, 8.24550823e-05, 8.48411013e-05, 8.72813434e-05, 8.98500262e-05, 9.25225139e-05,
                9.53224045e-05, 9.82932589e-05, 1.01430746e-04, 1.04758091e-04, 1.08230773e-04, 1.11931844e-04, 1.15779694e-04, 1.19742753e-04, 1.23821174e-04,
                1.27905579e-04, 1.32125883e-04, 1.36560003e-04, 1.41168658e-04, 1.45908822e-04, 1.50844179e-04, 1.55876047e-04, 1.61162414e-04, 1.66578944e-04,
                1.72208144e-04, 1.78015182e-04, 1.83829006e-04, 1.89803479e-04, 1.95916359e-04, 2.02227027e-04, 2.08545641e-04, 2.15104596e-04, 2.21883453e-04,
                2.29018281e-04, 2.36624439e-04, 2.44722145e-04, 2.53363111e-04, 2.62487398e-04, 2.72143843e-04, 2.82457848e-04, 2.93631646e-04, 3.05594436e-04,
                3.18374987e-04, 3.31956044e-04, 3.46262997e-04, 3.61161590e-04, 3.76561303e-04, 3.92402657e-04, 4.08734554e-04, 4.25686635e-04, 4.43142349e-04,
                4.60970621e-04, 4.79119990e-04, 4.97504037e-04, 5.16267850e-04, 5.35471733e-04, 5.55156324e-04, 5.75363568e-04, 5.96240259e-04, 6.18002450e-04,
                6.40663817e-04, 6.64334021e-04, 6.89179793e-04, 7.15304332e-04, 7.43007206e-04, 7.72354509e-04, 8.03529233e-04, 8.36553433e-04, 8.71671920e-04,
                9.08848192e-04, 9.48049929e-04, 9.89171708e-04, 1.03213247e-03, 1.07704607e-03, 1.12389752e-03, 1.17277112e-03, 1.22345237e-03, 1.27588844e-03,
                1.33007397e-03, 1.38593256e-03, 1.44365890e-03, 1.50320044e-03, 1.56460941e-03, 1.62798211e-03, 1.69335847e-03, 1.76065151e-03, 1.83018714e-03,
                1.90238408e-03, 1.97797293e-03, 2.05720685e-03, 2.14023385e-03, 2.22768388e-03, 2.32014691e-03, 2.41753697e-03, 2.52020839e-03, 2.62811738e-03,
                2.74207764e-03, 2.86208566e-03, 2.98838573e-03, 3.12064318e-03, 3.25899162e-03, 3.40325845e-03, 3.55400201e-03, 3.71103766e-03, 3.87416932e-03,
                4.04304450e-03, 4.21824894e-03, 4.39909067e-03, 4.58541961e-03, 4.77728601e-03, 4.97510088e-03, 5.17861933e-03, 5.38833254e-03, 5.60526532e-03,
                5.83011633e-03, 6.06393850e-03, 6.30767322e-03, 6.56202802e-03, 6.82734802e-03, 7.10515149e-03, 7.39736435e-03, 7.70443811e-03, 8.02717663e-03,
                8.36685736e-03, 8.72436647e-03, 9.09989523e-03, 9.49367982e-03, 9.90633965e-03, 1.03377022e-02, 1.07889295e-02, 1.12589642e-02, 1.17487076e-02,
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                2.50693194e-02, 2.60727828e-02, 2.71225074e-02, 2.82198072e-02, 2.93675632e-02, 3.05680332e-02, 3.18243015e-02, 3.31365319e-02, 3.45036410e-02,
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                5.11255994e-02, 5.30821817e-02, 5.50977575e-02, 5.71765583e-02, 5.93226268e-02, 6.15446009e-02, 6.38492003e-02, 6.62419514e-02, 6.87323726e-02,
                7.13300752e-02, 7.40412600e-02, 7.68752454e-02, 7.98495832e-02, 8.29738511e-02, 8.62613582e-02, 8.97213534e-02, 9.33715132e-02, 9.72210010e-02,
                1.01285530e-01, 1.05573072e-01, 1.10102955e-01, 1.14886225e-01, 1.19929445e-01, 1.25249281e-01, 1.30846891e-01, 1.36722541e-01, 1.42887625e-01,
                1.49343644e-01, 1.56087219e-01, 1.63124507e-01, 1.70446965e-01, 1.78064443e-01, 1.85967518e-01, 1.94160271e-01, 2.02639279e-01, 2.11404304e-01,
                2.20451902e-01, 2.29773241e-01, 2.39353796e-01, 2.49202120e-01, 2.59312516e-01, 2.69663669e-01, 2.80259171e-01, 2.91099369e-01, 3.02168935e-01,
                3.13452528e-01, 3.24945152e-01, 3.36620198e-01, 3.48472634e-01, 3.60480851e-01, 3.72656480e-01, 3.84968077e-01, 3.97392254e-01, 4.09918509e-01,
                4.22520879e-01, 4.35205586e-01, 4.47957542e-01, 4.60748622e-01, 4.73576196e-01, 4.86422294e-01, 4.99275708e-01, 5.12135688e-01, 5.24991812e-01,
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                9.41752026e-01, 9.50609278e-01, 9.59335742e-01, 9.67928598e-01, 9.76374688e-01, 9.84676172e-01, 9.92841712e-01, 1.00086743e+00, 1.00876183e+00,
                1.01650404e+00, 1.02410000e+00, 1.03153795e+00, 1.03882604e+00, 1.04596403e+00, 1.05298700e+00, 1.05988499e+00, 1.06666078e+00, 1.07331712e+00,
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                1.13275540e+00, 1.13800814e+00, 1.14317927e+00, 1.14824832e+00, 1.15321417e+00, 1.15807201e+00, 1.16282141e+00, 1.16746334e+00, 1.17198185e+00,
                1.17639223e+00, 1.18072892e+00, 1.18501050e+00, 1.18920548e+00, 1.19329095e+00, 1.19731114e+00, 1.20124129e+00, 1.20511439e+00, 1.20889585e+00,
                1.21254159e+00, 1.21611160e+00, 1.21965093e+00, 1.22310743e+00, 1.22651368e+00, 1.22985515e+00, 1.23311671e+00, 1.23628356e+00, 1.23935340e+00,
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                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00
        ]
)
phiPart_r2d6s2 = array(
        [
                5.90116815e-01, 5.91280691e-01, 5.91739864e-01, 5.92522745e-01, 5.92585366e-01, 5.91551709e-01, 5.88855707e-01, 5.86444197e-01, 5.84642540e-01,
                5.84078525e-01, 5.83524110e-01, 5.82394471e-01, 5.80814713e-01, 5.78588877e-01, 5.77278129e-01, 5.76257342e-01, 5.75970174e-01, 5.75472242e-01,
                5.74442400e-01, 5.73739816e-01, 5.73486254e-01, 5.74550035e-01, 5.76330726e-01, 5.78981304e-01, 5.82305858e-01, 5.86382727e-01, 5.90942240e-01,
                5.94022039e-01, 5.95734395e-01, 5.97780260e-01, 6.00168917e-01, 6.02475905e-01, 6.04201036e-01, 6.05951886e-01, 6.07856625e-01, 6.08624326e-01,
                6.08805983e-01, 6.08149125e-01, 6.06144735e-01, 6.03994182e-01, 6.02364098e-01, 6.01835596e-01, 6.01881377e-01, 6.02510683e-01, 6.03070803e-01,
                6.03235671e-01, 6.03425850e-01, 6.03468146e-01, 6.03808770e-01, 6.04466031e-01, 6.05744665e-01, 6.06934479e-01, 6.08278189e-01, 6.09669794e-01,
                6.11529150e-01, 6.13520829e-01, 6.16035743e-01, 6.18789201e-01, 6.20711976e-01, 6.22024676e-01, 6.22019434e-01, 6.21007731e-01, 6.19544418e-01,
                6.18315488e-01, 6.17074761e-01, 6.15711976e-01, 6.14251058e-01, 6.12827420e-01, 6.11377547e-01, 6.10152106e-01, 6.09154065e-01, 6.08420625e-01,
                6.08168888e-01, 6.08722322e-01, 6.10006790e-01, 6.11929104e-01, 6.14478476e-01, 6.17235944e-01, 6.20404391e-01, 6.23381478e-01, 6.25933844e-01,
                6.27811661e-01, 6.29298051e-01, 6.30207117e-01, 6.30397994e-01, 6.30208782e-01, 6.29878911e-01, 6.29538530e-01, 6.29370514e-01, 6.29268953e-01,
                6.28598772e-01, 6.27069269e-01, 6.25014321e-01, 6.22839000e-01, 6.20515959e-01, 6.18324419e-01, 6.16191017e-01, 6.14359903e-01, 6.12871467e-01,
                6.11701970e-01, 6.10860318e-01, 6.10572504e-01, 6.11229010e-01, 6.12536356e-01, 6.14442925e-01, 6.16778372e-01, 6.19367186e-01, 6.22067401e-01,
                6.24760505e-01, 6.27288581e-01, 6.29468493e-01, 6.31228424e-01, 6.32305951e-01, 6.32945985e-01, 6.33172543e-01, 6.32992160e-01, 6.32045473e-01,
                6.30461467e-01, 6.28406032e-01, 6.26289572e-01, 6.24171423e-01, 6.22077814e-01, 6.20019764e-01, 6.18095114e-01, 6.16359100e-01, 6.14975452e-01,
                6.14065070e-01, 6.13511907e-01, 6.13273522e-01, 6.13226513e-01, 6.13602338e-01, 6.14377321e-01, 6.15563847e-01, 6.17066204e-01, 6.18960399e-01,
                6.21126733e-01, 6.23327173e-01, 6.25429370e-01, 6.27283502e-01, 6.28756366e-01, 6.29764330e-01, 6.30230811e-01, 6.30232717e-01, 6.29669545e-01,
                6.28614095e-01, 6.27119394e-01, 6.25438589e-01, 6.23632882e-01, 6.21833070e-01, 6.19898224e-01, 6.17886088e-01, 6.15973632e-01, 6.14100396e-01,
                6.12297992e-01, 6.10768818e-01, 6.09707396e-01, 6.09224942e-01, 6.09268178e-01, 6.09737707e-01, 6.10541376e-01, 6.11528518e-01, 6.12711128e-01,
                6.13970582e-01, 6.15457087e-01, 6.17166375e-01, 6.18979230e-01, 6.20695644e-01, 6.22196191e-01, 6.23382070e-01, 6.24168509e-01, 6.24555090e-01,
                6.24579305e-01, 6.24223361e-01, 6.23459575e-01, 6.22306878e-01, 6.20837543e-01, 6.19137480e-01, 6.17339307e-01, 6.15594337e-01, 6.13954962e-01,
                6.12434912e-01, 6.11068225e-01, 6.09867817e-01, 6.08923589e-01, 6.08276297e-01, 6.07838790e-01, 6.07696203e-01, 6.07876373e-01, 6.08245102e-01,
                6.08808267e-01, 6.09578802e-01, 6.10519083e-01, 6.11467504e-01, 6.12394957e-01, 6.13259799e-01, 6.14062092e-01, 6.14764241e-01, 6.15307884e-01,
                6.15570074e-01, 6.15476208e-01, 6.15071642e-01, 6.14367821e-01, 6.13385453e-01, 6.12187231e-01, 6.10814176e-01, 6.09344401e-01, 6.07858912e-01,
                6.06409650e-01, 6.05064578e-01, 6.03813032e-01, 6.02745338e-01, 6.01956084e-01, 6.01414508e-01, 6.01152240e-01, 6.01099569e-01, 6.01269617e-01,
                6.01565768e-01, 6.02015547e-01, 6.02578006e-01, 6.03215934e-01, 6.03874127e-01, 6.04467017e-01, 6.04999458e-01, 6.05426806e-01, 6.05721556e-01,
                6.05791383e-01, 6.05672643e-01, 6.05323520e-01, 6.04772642e-01, 6.04047241e-01, 6.03126705e-01, 6.02020568e-01, 6.00777770e-01, 5.99438590e-01,
                5.98036816e-01, 5.96587818e-01, 5.95167419e-01, 5.93797346e-01, 5.92524183e-01, 5.91392906e-01, 5.90414736e-01, 5.89566984e-01, 5.88872486e-01,
                5.88368125e-01, 5.88073210e-01, 5.87932961e-01, 5.87920453e-01, 5.87967594e-01, 5.88102467e-01, 5.88248099e-01, 5.88396264e-01, 5.88496893e-01,
                5.88489451e-01, 5.88328094e-01, 5.87990493e-01, 5.87447297e-01, 5.86701133e-01, 5.85751370e-01, 5.84615401e-01, 5.83291779e-01, 5.81764172e-01,
                5.80086972e-01, 5.78299475e-01, 5.76421821e-01, 5.74491493e-01, 5.72548665e-01, 5.70635837e-01, 5.68749997e-01, 5.66914680e-01, 5.65164564e-01,
                5.63510220e-01, 5.61982769e-01, 5.60599946e-01, 5.59302323e-01, 5.58110589e-01, 5.56985155e-01, 5.55937715e-01, 5.54876871e-01, 5.53769924e-01,
                5.52574797e-01, 5.51271543e-01, 5.49824342e-01, 5.48128196e-01, 5.46199709e-01, 5.44012882e-01, 5.41512561e-01, 5.38662936e-01, 5.35441320e-01,
                5.31852899e-01, 5.27892008e-01, 5.23606917e-01, 5.18992908e-01, 5.14069552e-01, 5.08834491e-01, 5.03343636e-01, 4.97640946e-01, 4.91727771e-01,
                4.85637643e-01, 4.79450116e-01, 4.73179666e-01, 4.66857080e-01, 4.60495687e-01, 4.54120220e-01, 4.47765413e-01, 4.41449909e-01, 4.35184312e-01,
                4.29003343e-01, 4.22949286e-01, 4.17001393e-01, 4.11180962e-01, 4.05444269e-01, 3.99821804e-01, 3.94337291e-01, 3.88995731e-01, 3.83756762e-01,
                3.78613291e-01, 3.73580827e-01, 3.68644919e-01, 3.63833974e-01, 3.59129155e-01, 3.54514997e-01, 3.50008831e-01, 3.45609478e-01, 3.41343283e-01,
                3.37211847e-01, 3.33190623e-01, 3.29296620e-01, 3.25526956e-01, 3.21899522e-01, 3.18397388e-01, 3.15018708e-01, 3.11775855e-01, 3.08682855e-01,
                3.05724445e-01, 3.02893793e-01, 3.00209502e-01, 2.97623579e-01, 2.95127395e-01, 2.92710138e-01, 2.90375855e-01, 2.88133021e-01, 2.85944557e-01,
                2.83796216e-01, 2.81684379e-01, 2.79604595e-01, 2.77572715e-01, 2.75560561e-01, 2.73558126e-01, 2.71548502e-01, 2.69514043e-01, 2.67467189e-01,
                2.65426442e-01, 2.63346244e-01, 2.61231428e-01, 2.59116352e-01, 2.56996489e-01, 2.54871896e-01, 2.52700651e-01, 2.50496320e-01, 2.48235367e-01,
                2.45926975e-01, 2.43565670e-01, 2.41167738e-01, 2.38704989e-01, 2.36211017e-01, 2.33681351e-01, 2.31089375e-01, 2.28447581e-01, 2.25753867e-01,
                2.22999726e-01, 2.20187185e-01, 2.17296688e-01, 2.14356904e-01, 2.11369802e-01, 2.08294241e-01, 2.05135872e-01, 2.01891775e-01, 1.98564636e-01,
                1.95167503e-01, 1.91675282e-01, 1.88108693e-01, 1.84446265e-01, 1.80702783e-01, 1.76887630e-01, 1.72996067e-01, 1.69005452e-01, 1.64961448e-01,
                1.60876804e-01, 1.56762083e-01, 1.52606363e-01, 1.48389410e-01, 1.44131778e-01, 1.39822615e-01, 1.35478760e-01, 1.31107487e-01, 1.26717348e-01,
                1.22324189e-01, 1.17951825e-01, 1.13592099e-01, 1.09237912e-01, 1.04911698e-01, 1.00617844e-01, 9.63803301e-02, 9.21963870e-02, 8.80713208e-02,
                8.40269032e-02, 8.00519479e-02, 7.61518623e-02, 7.23348084e-02, 6.86076410e-02, 6.49751889e-02, 6.14440392e-02, 5.80126886e-02, 5.47033986e-02,
                5.15094370e-02, 4.84342622e-02, 4.54834928e-02, 4.26417958e-02, 3.99175085e-02, 3.73243958e-02, 3.48601662e-02, 3.25231195e-02, 3.03098326e-02,
                2.82080298e-02, 2.62204815e-02, 2.43425623e-02, 2.25783767e-02, 2.09160527e-02, 1.93561544e-02, 1.78986917e-02, 1.65364508e-02, 1.52574465e-02,
                1.40625996e-02, 1.29510352e-02, 1.19212428e-02, 1.09663734e-02, 1.00864819e-02, 9.27269874e-03, 8.51623812e-03, 7.81549001e-03, 7.16246778e-03,
                6.56349451e-03, 6.01430093e-03, 5.50764612e-03, 5.04154914e-03, 4.60807896e-03, 4.21192577e-03, 3.84906688e-03, 3.51465958e-03, 3.20792208e-03,
                2.92290084e-03, 2.66040447e-03, 2.42304334e-03, 2.20618525e-03, 2.00894330e-03, 1.83031265e-03, 1.66616350e-03, 1.51684517e-03, 1.38015029e-03,
                1.25603095e-03, 1.14118892e-03, 1.03683672e-03, 9.43137491e-04, 8.59265318e-04, 7.84716834e-04, 7.17839526e-04, 6.55456845e-04, 5.99639190e-04,
                5.49551622e-04, 5.04602200e-04, 4.64123801e-04, 4.27564050e-04, 3.93939997e-04, 3.63073905e-04, 3.35087863e-04, 3.09323743e-04, 2.87078617e-04,
                2.65561703e-04, 2.45496825e-04, 2.27252263e-04, 2.10423590e-04, 1.95106943e-04, 1.80744005e-04, 1.67172789e-04, 1.55006518e-04, 1.44021100e-04,
                1.33047446e-04, 1.23121173e-04, 1.14097296e-04, 1.05206047e-04, 9.66544762e-05, 8.81093697e-05, 8.00602672e-05, 7.20346575e-05, 6.48521875e-05,
                5.82216612e-05, 5.26760556e-05, 4.79963872e-05, 4.39663869e-05, 4.01748644e-05, 3.69167513e-05, 3.34917731e-05, 3.01440445e-05, 2.72167141e-05,
                2.44827040e-05, 2.17894531e-05, 1.94094234e-05, 1.71530141e-05, 1.52563461e-05, 1.38137907e-05, 1.24153294e-05, 1.13579618e-05, 1.06295374e-05,
                1.00274170e-05, 9.57760515e-06, 9.13363387e-06, 8.66603326e-06, 8.28887095e-06, 7.90811726e-06, 7.50142345e-06, 7.16458615e-06, 6.77534544e-06,
                6.38610244e-06, 6.01132348e-06, 5.56255221e-06, 5.13946691e-06, 4.78638925e-06, 4.43162842e-06, 4.23402675e-06, 4.16264906e-06, 4.04128273e-06,
                3.90185015e-06, 3.72965648e-06, 3.52470174e-06, 3.28698591e-06, 3.01650901e-06, 2.71327103e-06, 2.37727196e-06, 2.00851182e-06, 1.60699059e-06,
                1.19327430e-06, 8.81505159e-07, 6.97236011e-07, 5.11951671e-07, 3.25334874e-07, 1.29855733e-07, 1.27331885e-08, 1.40683177e-08, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00
        ]
)
tau_xz_r2d6s2 = array(
        [
                1.20195022e+01, 1.68289043e+01, 2.02310435e+01, 2.32143289e+01, 2.80337385e+01, 3.38139625e+01, 3.77827689e+01, 4.16743749e+01, 4.63699452e+01,
                5.04032944e+01, 5.76834594e+01, 6.40062284e+01, 7.18224996e+01, 8.20453858e+01, 9.37574536e+01, 1.03851018e+02, 1.08884700e+02, 1.08833362e+02,
                1.08717783e+02, 1.08597619e+02, 1.08459179e+02, 1.08316242e+02, 1.08148467e+02, 1.07884992e+02, 1.07612919e+02, 1.07365927e+02, 1.07138399e+02,
                1.06978160e+02, 1.06840822e+02, 1.06700717e+02, 1.06555854e+02, 1.06390176e+02, 1.06216397e+02, 1.06069047e+02, 1.05925865e+02, 1.05776059e+02,
                1.05610686e+02, 1.05452061e+02, 1.05271969e+02, 1.05102779e+02, 1.04898702e+02, 1.04667766e+02, 1.04461845e+02, 1.04256329e+02, 1.04085819e+02,
                1.03903777e+02, 1.03694075e+02, 1.03501400e+02, 1.03365130e+02, 1.03240520e+02, 1.03114444e+02, 1.02971240e+02, 1.02841420e+02, 1.02711524e+02,
                1.02575434e+02, 1.02439063e+02, 1.02256023e+02, 1.02060766e+02, 1.01865939e+02, 1.01662195e+02, 1.01418794e+02, 1.01195491e+02, 1.00986226e+02,
                1.00776669e+02, 1.00585838e+02, 1.00378338e+02, 1.00186948e+02, 1.00016867e+02, 9.98604278e+01, 9.97148355e+01, 9.95680172e+01, 9.94133299e+01,
                9.92807722e+01, 9.91609422e+01, 9.90479170e+01, 9.89093627e+01, 9.87517847e+01, 9.85924194e+01, 9.84205791e+01, 9.82215104e+01, 9.80232415e+01,
                9.78094876e+01, 9.74472009e+01, 9.70073240e+01, 9.65650931e+01, 9.62111496e+01, 9.57827984e+01, 9.52704818e+01, 9.49295520e+01, 9.47770842e+01,
                9.46324218e+01, 9.44841027e+01, 9.43527054e+01, 9.42149685e+01, 9.40541909e+01, 9.38836148e+01, 9.37237610e+01, 9.35369700e+01, 9.33833779e+01,
                9.32258538e+01, 9.30491374e+01, 9.28704584e+01, 9.26776449e+01, 9.24488284e+01, 9.22375367e+01, 9.20610978e+01, 9.18791935e+01, 9.17076509e+01,
                9.15370118e+01, 9.13732117e+01, 9.12016256e+01, 9.10276930e+01, 9.08594701e+01, 9.06847464e+01, 9.05021982e+01, 9.03178738e+01, 9.01225284e+01,
                8.99277190e+01, 8.97195046e+01, 8.94765348e+01, 8.92544362e+01, 8.90243014e+01, 8.88468580e+01, 8.86842956e+01, 8.84978462e+01, 8.83370027e+01,
                8.81732448e+01, 8.80036038e+01, 8.78462598e+01, 8.77020488e+01, 8.75521947e+01, 8.73759996e+01, 8.72127643e+01, 8.70477985e+01, 8.68740760e+01,
                8.67061496e+01, 8.65135853e+01, 8.63382968e+01, 8.61284639e+01, 8.59097909e+01, 8.56839359e+01, 8.55179447e+01, 8.53019822e+01, 8.50681475e+01,
                8.48375282e+01, 8.45894265e+01, 8.43817183e+01, 8.41635314e+01, 8.39393882e+01, 8.37042822e+01, 8.34926631e+01, 8.33011663e+01, 8.31318884e+01,
                8.29556222e+01, 8.27822185e+01, 8.26263233e+01, 8.24796757e+01, 8.23112426e+01, 8.21599773e+01, 8.19985512e+01, 8.18398565e+01, 8.16672299e+01,
                8.14825237e+01, 8.12741397e+01, 8.10877757e+01, 8.09022669e+01, 8.06960920e+01, 8.04537864e+01, 8.02103181e+01, 8.00301717e+01, 7.98386422e+01,
                7.96463212e+01, 7.94525304e+01, 7.92448528e+01, 7.90663977e+01, 7.88889139e+01, 7.87145401e+01, 7.85338309e+01, 7.83406975e+01, 7.81707838e+01,
                7.80030542e+01, 7.78421879e+01, 7.76633121e+01, 7.75178856e+01, 7.73574941e+01, 7.71791611e+01, 7.70243210e+01, 7.68424689e+01, 7.66418306e+01,
                7.64632849e+01, 7.62856957e+01, 7.61056277e+01, 7.58999576e+01, 7.57485182e+01, 7.55393493e+01, 7.53754694e+01, 7.51901893e+01, 7.50407960e+01,
                7.48639635e+01, 7.46874847e+01, 7.44648384e+01, 7.42383041e+01, 7.40527009e+01, 7.38642006e+01, 7.37149298e+01, 7.35401917e+01, 7.33614666e+01,
                7.31928130e+01, 7.30338600e+01, 7.28869509e+01, 7.27140833e+01, 7.25087887e+01, 7.23451632e+01, 7.21941751e+01, 7.20264890e+01, 7.18141612e+01,
                7.16227858e+01, 7.14702002e+01, 7.12778647e+01, 7.10664006e+01, 7.09221945e+01, 7.07816439e+01, 7.05951404e+01, 7.04657814e+01, 7.02765138e+01,
                7.00440219e+01, 6.98684329e+01, 6.97279953e+01, 6.95443879e+01, 6.93750847e+01, 6.91791873e+01, 6.89718444e+01, 6.88467079e+01, 6.86566020e+01,
                6.84861925e+01, 6.83108203e+01, 6.81497677e+01, 6.80306228e+01, 6.78907652e+01, 6.77488955e+01, 6.76177566e+01, 6.74265900e+01, 6.73070808e+01,
                6.71724598e+01, 6.70117309e+01, 6.68266825e+01, 6.65993744e+01, 6.63865215e+01, 6.61328848e+01, 6.59163744e+01, 6.56065390e+01, 6.53860785e+01,
                6.52002932e+01, 6.50734456e+01, 6.49338868e+01, 6.48291024e+01, 6.46674528e+01, 6.44903645e+01, 6.43942366e+01, 6.42011114e+01, 6.41005835e+01,
                6.39034387e+01, 6.36824675e+01, 6.35758763e+01, 6.33242712e+01, 6.31681482e+01, 6.30055938e+01, 6.29000241e+01, 6.26919656e+01, 6.25097721e+01,
                6.22819507e+01, 6.20856725e+01, 6.19973213e+01, 6.19021352e+01, 6.17887820e+01, 6.15719476e+01, 6.13776170e+01, 6.11620425e+01, 6.09878076e+01,
                6.08159609e+01, 6.06902569e+01, 6.05049857e+01, 6.03178126e+01, 6.01215696e+01, 6.00324899e+01, 5.98555898e+01, 5.96249725e+01, 5.93619269e+01,
                5.91090807e+01, 5.89040067e+01, 5.87311550e+01, 5.86648757e+01, 5.87071762e+01, 5.86349312e+01, 5.85820567e+01, 5.84854607e+01, 5.83969285e+01,
                5.83488418e+01, 5.81871269e+01, 5.80646276e+01, 5.76640162e+01, 5.74130844e+01, 5.70695274e+01, 5.69707029e+01, 5.69030725e+01, 5.65363681e+01,
                5.64133236e+01, 5.64272829e+01, 5.61042449e+01, 5.59263177e+01, 5.55570197e+01, 5.51766764e+01, 5.50044478e+01, 5.44645583e+01, 5.41449406e+01,
                5.37434102e+01, 5.34684512e+01, 5.28912197e+01, 5.24772334e+01, 5.20983566e+01, 5.15124114e+01, 5.07822179e+01, 5.04672968e+01, 5.00024107e+01,
                4.95107623e+01, 4.88764600e+01, 4.85020640e+01, 4.77492027e+01, 4.72080465e+01, 4.64344397e+01, 4.56118315e+01, 4.50817848e+01, 4.45422267e+01,
                4.39834871e+01, 4.34307902e+01, 4.25595852e+01, 4.17567367e+01, 4.07367309e+01, 4.00363053e+01, 3.92982357e+01, 3.85336991e+01, 3.81190520e+01,
                3.76072115e+01, 3.70930402e+01, 3.64611139e+01, 3.60856945e+01, 3.54717757e+01, 3.45408520e+01, 3.35770470e+01, 3.28321564e+01, 3.23741454e+01,
                3.15316701e+01, 3.05963289e+01, 2.97176837e+01, 2.89015621e+01, 2.82876889e+01, 2.72756207e+01, 2.67148362e+01, 2.58917704e+01, 2.54152738e+01,
                2.47785702e+01, 2.39294959e+01, 2.31968621e+01, 2.23102958e+01, 2.15342236e+01, 2.10359151e+01, 2.03999522e+01, 1.99457869e+01, 1.90298595e+01,
                1.87946113e+01, 1.80044634e+01, 1.71382530e+01, 1.66428089e+01, 1.59391507e+01, 1.52446457e+01, 1.47473971e+01, 1.41266804e+01, 1.38828170e+01,
                1.29644677e+01, 1.21845359e+01, 1.20110207e+01, 1.09601642e+01, 1.06526844e+01, 1.00504869e+01, 9.53521801e+00, 9.10003263e+00, 8.46604273e+00,
                7.94274109e+00, 7.46650626e+00, 7.03561719e+00, 6.67744267e+00, 6.41372513e+00, 5.92598265e+00, 5.48982892e+00, 5.27794869e+00, 5.02571929e+00,
                4.90106353e+00, 4.42342509e+00, 4.25812988e+00, 4.12013562e+00, 3.65503852e+00, 3.51993238e+00, 3.29596613e+00, 3.16931253e+00, 2.81085818e+00,
                2.47772532e+00, 2.48994245e+00, 2.38034436e+00, 2.09064503e+00, 2.05293354e+00, 1.83895354e+00, 1.62018756e+00, 1.54416917e+00, 1.42484656e+00,
                1.25701684e+00, 1.17203236e+00, 1.13187321e+00, 1.00934813e+00, 8.87922544e-01, 8.58081329e-01, 8.22347938e-01, 7.52725733e-01, 6.50144429e-01,
                5.90412909e-01, 4.66575003e-01, 4.44367857e-01, 4.73213764e-01, 4.23146534e-01, 3.22506177e-01, 3.48858119e-01, 3.47347813e-01, 2.72452469e-01,
                2.93680251e-01, 2.83031786e-01, 2.10993219e-01, 2.34143688e-01, 1.50314795e-01, 1.82768594e-01, 1.41808817e-01, 1.48515593e-01, 1.75222270e-01,
                1.18699361e-01, 1.09415730e-01, 1.20372855e-01, 7.61020787e-02, 6.50470890e-02, 6.97024411e-02, 5.45256149e-02, 6.15225561e-02, 5.51532189e-02,
                5.05886646e-02, 4.91123187e-02, 1.94576930e-02, 3.89479074e-02, 2.75930768e-02, 2.74542013e-02, 2.04805138e-02, 2.61823858e-02, 1.66656203e-02,
                1.58802632e-02, 9.12666306e-03, 1.03086657e-02, 9.78481601e-03, 6.81587217e-03, 8.19724585e-03, 7.18975212e-03, 1.25394121e-02, 4.02786064e-03,
                4.44454876e-03, 2.49820892e-03, 2.38353733e-03, 4.58708910e-03, 2.01166919e-03, 1.65456408e-03, 1.00217276e-03, 5.81234683e-04, 2.34749586e-03,
                2.47621169e-03, 2.09813544e-03, 3.00184285e-03, 5.80066966e-04, 2.42911236e-03, 2.88672256e-04, 1.14001853e-03, 5.11396388e-05, 1.78782447e-03,
                4.71352833e-04, 1.40299688e-04, 3.58550277e-04, 3.18082220e-04, 1.15580313e-04, 4.91089068e-05, 2.30624156e-05, 6.03904724e-04, -4.10713894e-05,
                2.17866318e-04, 1.45317630e-06, 1.81111745e-05, 0.00000000e+00, 0.00000000e+00, 1.70593975e-04, 0.00000000e+00, 1.32442761e-04, 1.15285900e-06,
                2.09765319e-06, 6.57283522e-04, 0.00000000e+00, 1.27136008e-05, 5.58021956e-05, 1.84660528e-05, 0.00000000e+00, 7.87573012e-05, 1.96413168e-04,
                0.00000000e+00, 2.71494574e-04, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 2.06098352e-04, 2.20569397e-05, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 1.56135977e-05, 1.03036203e-06,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00
        ]
)
Sxz_r2d6s2 = array(
        [
                1.06097945e-01, 3.96692948e-02, 1.92977222e-02, 2.18702273e-03, -1.23157672e-02, -2.44687905e-02, -3.35042143e-02, -3.72413429e-02,
                -3.32366318e-02, -1.98901614e-02, -5.95357041e-03, -4.96817183e-04, 4.10503795e-06, 7.19390687e-06, 1.02473426e-05, 3.05772739e-05,
                6.14401215e-03, 2.41479519e-02, 3.83949473e-02, 4.17315649e-02, 3.57319144e-02, 2.35511577e-02, 7.85486138e-03, -8.38551828e-03,
                -2.25245308e-02, -3.23430702e-02, -3.58392805e-02, -3.19818277e-02, -2.23710272e-02, -1.43949011e-02, -6.74366966e-03, -2.68170168e-03,
                -1.21575376e-04, 1.17111551e-05, 1.56998073e-04, 5.88565592e-03, 1.48942306e-02, 2.66753020e-02, 3.40670436e-02, 3.28147494e-02, 2.44910497e-02,
                1.21523661e-02, -1.42839344e-03, -1.37094030e-02, -2.25598078e-02, -2.63958757e-02, -2.42222758e-02, -2.16321185e-02, -1.73175345e-02,
                -1.10579020e-02, -6.72360352e-03, -4.00504486e-03, -1.59826846e-03, 2.99373634e-03, 8.61154859e-03, 1.26474609e-02, 1.59549840e-02,
                1.88954224e-02, 1.86562211e-02, 1.64309716e-02, 1.15126263e-02, 4.19403353e-03, -3.42599709e-03, -9.22500920e-03, -1.24889480e-02,
                -1.73405276e-02, -1.91251071e-02, -1.39731904e-02, -1.24944207e-02, -1.01763011e-02, -7.51397259e-03, -1.84120145e-03, 6.47247358e-03,
                1.01084288e-02, 1.16963046e-02, 1.19022615e-02, 9.83106660e-03, 6.24304762e-03, 1.30585326e-03, -3.81581402e-03, -7.80650536e-03,
                -9.72450743e-03, -8.68613524e-03, -7.42553861e-03, -6.87384935e-03, -5.97238206e-03, -4.28721292e-03, -2.89971816e-03, -1.77408848e-03,
                1.28636151e-04, 3.84989227e-03, 7.88703884e-03, 9.98201496e-03, 1.03301761e-02, 1.00188313e-02, 8.05814516e-03, 4.94188106e-03, 4.28998408e-03,
                4.50955356e-03, 2.32602817e-03, 2.67469148e-03, 1.20648205e-03, 3.48759781e-03, -2.51478321e-04, -6.99349635e-03, -1.16866298e-02,
                -1.41968141e-02, -1.33277144e-02, -8.93348145e-03, -3.12024230e-03, 3.06415855e-03, 6.09190506e-03, 5.76150096e-03, 4.25830447e-03,
                2.10597486e-03, 1.14671906e-04, 6.62757433e-04, 2.38482283e-03, 3.67844143e-03, 2.93372450e-03, 1.82666650e-03, 6.61237239e-04, -1.85974039e-03,
                -3.82156387e-03, -4.34937017e-03, -3.74768681e-03, -3.32668784e-03, -1.89727010e-03, -1.11173028e-03, -1.10980990e-03, -1.48767426e-03,
                -2.65184865e-03, -3.66945581e-03, -3.32096523e-03, -2.63277355e-03, -1.62199025e-03, -1.98801191e-03, -3.05278528e-03, -2.97111777e-03,
                -2.06782478e-03, -8.41082507e-04, -3.23582634e-04, 1.07290484e-04, 9.21856664e-04, 3.55487556e-03, 5.94236256e-03, 6.58940039e-03,
                6.24910221e-03, 4.67023588e-03, 2.01079738e-03, -7.64685997e-04, -2.20951086e-03, -2.84439760e-03, -2.61206404e-03, -1.87361734e-03,
                -1.67362824e-03, -7.25559746e-04, -2.02848505e-04, -1.20791439e-03, -2.18256970e-03, -2.52620165e-03, -1.51604096e-03, 8.21807595e-04,
                3.26941193e-03, 4.79398369e-03, 4.16885257e-03, 3.07307219e-03, 1.10301376e-03, -1.05106676e-03, -2.70888037e-03, -3.41845536e-03,
                -3.14629558e-03, -2.68715007e-03, -1.60744334e-03, -1.48035548e-04, 1.02768863e-03, 1.49468083e-03, 1.56692318e-03, 1.52897480e-03,
                1.49984411e-03, 1.92879123e-03, 2.52909320e-03, 2.02865190e-03, 9.25656668e-04, 1.15797019e-05, -7.09907140e-04, -8.71559034e-04,
                -1.14731684e-03, -1.58270038e-03, -1.63532113e-03, -1.06165420e-03, -3.92032818e-04, 5.99642222e-05, 1.37670051e-04, -4.84783872e-06,
                -4.20546373e-04, -7.41567400e-04, -6.21760162e-04, -3.25592434e-05, 7.05792456e-04, 1.06407155e-03, 8.73047530e-04, 5.72490507e-04,
                8.30421942e-04, 1.22473407e-03, 1.67154902e-03, 1.76609446e-03, 1.89165370e-03, 2.37802311e-03, 2.41491138e-03, 2.47302500e-03, 2.50049069e-03,
                2.32170229e-03, 1.99253632e-03, 1.68241468e-03, 5.77759654e-04, -6.47594880e-04, -1.44347739e-03, -1.48548059e-03, -1.09874613e-03,
                -1.54359176e-04, 7.71322061e-04, 1.62308504e-03, 2.36140831e-03, 3.07436740e-03, 3.78229554e-03, 5.17945180e-03, 6.55298156e-03, 7.12204100e-03,
                6.52633696e-03, 4.59644796e-03, 1.62590691e-03, -1.62362373e-03, -4.20316966e-03, -5.30307072e-03, -4.62950829e-03, -2.65936127e-03,
                -2.01876968e-04, 1.93859160e-03, 3.40757653e-03, 4.53106483e-03, 6.10888806e-03, 7.86133837e-03, 1.08442033e-02, 1.35848046e-02, 1.46834965e-02,
                1.34956328e-02, 9.36025862e-03, 3.42509524e-03, -2.89240862e-03, -7.83740711e-03, -1.00975198e-02, -9.39177140e-03, -5.55667038e-03,
                -8.79508145e-04, 2.54531289e-03, 4.32375007e-03, 5.15545184e-03, 6.56604987e-03, 9.16237057e-03, 1.36075790e-02, 1.85594712e-02, 2.14970893e-02,
                2.13580243e-02, 1.86488938e-02, 1.39713443e-02, 7.64936800e-03, 7.05141558e-04, -5.06164990e-03, -7.97212279e-03, -7.76480930e-03,
                -4.60797309e-03, 7.30734246e-04, 5.87158947e-03, 8.98562141e-03, 1.13258844e-02, 1.40868773e-02, 1.77982543e-02, 2.11734379e-02, 2.29688345e-02,
                2.32060919e-02, 2.21949312e-02, 2.02876905e-02, 1.76995235e-02, 1.45878359e-02, 1.10823878e-02, 7.40838373e-03, 4.17814217e-03, 2.63251038e-03,
                3.77952691e-03, 6.97827020e-03, 1.15826817e-02, 1.61040248e-02, 2.03404725e-02, 2.45133926e-02, 2.87709934e-02, 3.28107535e-02, 3.66993439e-02,
                4.04114971e-02, 4.39815392e-02, 4.74425814e-02, 5.07907326e-02, 5.40171513e-02, 5.71140571e-02, 6.00712333e-02, 6.28778029e-02, 6.55261744e-02,
                6.80085726e-02, 7.03216311e-02, 7.24578320e-02, 7.44193634e-02, 7.62091724e-02, 7.78324278e-02, 7.92919620e-02, 8.05929457e-02, 8.17438193e-02,
                8.27509112e-02, 8.36238518e-02, 8.43702772e-02, 8.49972725e-02, 8.55133222e-02, 8.59264134e-02, 8.62459916e-02, 8.64799489e-02, 8.66333752e-02,
                8.67142146e-02, 8.67291912e-02, 8.66861841e-02, 8.65897099e-02, 8.64453871e-02, 8.62588103e-02, 8.60356923e-02, 8.57796167e-02, 8.54940646e-02,
                8.51837877e-02, 8.48495232e-02, 8.44936014e-02, 8.41181827e-02, 8.37258739e-02, 8.33193754e-02, 8.28987895e-02, 8.24648592e-02, 8.20188483e-02,
                8.15617966e-02, 8.10957451e-02, 8.06201621e-02, 8.01353893e-02, 7.96411797e-02, 7.91371253e-02, 7.86243594e-02, 7.81045218e-02, 7.75757938e-02,
                7.70386962e-02, 7.64954558e-02, 7.59462224e-02, 7.53915943e-02, 7.48298247e-02, 7.42616140e-02, 7.36860562e-02, 7.31038330e-02, 7.25149012e-02,
                7.19201354e-02, 7.13184006e-02, 7.07113827e-02, 7.00991616e-02, 6.94807271e-02, 6.88568681e-02, 6.82276673e-02, 6.75929345e-02, 6.69529549e-02,
                6.63071946e-02, 6.56570473e-02, 6.50029709e-02, 6.43434976e-02, 6.36791030e-02, 6.30099875e-02, 6.23364850e-02, 6.16593899e-02, 6.09780307e-02,
                6.02934352e-02, 5.96051248e-02, 5.89138981e-02, 5.82204009e-02, 5.75248260e-02, 5.68267521e-02, 5.61280307e-02, 5.54294685e-02, 5.47318030e-02,
                5.40350942e-02, 5.33390655e-02, 5.26447026e-02, 5.19519968e-02, 5.12618127e-02, 5.05746704e-02, 4.98910878e-02, 4.92118088e-02, 4.85377624e-02,
                4.78690057e-02, 4.72056195e-02, 4.65484671e-02, 4.58979012e-02, 4.52547237e-02, 4.46190394e-02, 4.39911553e-02, 4.33717435e-02, 4.27606817e-02,
                4.21582150e-02, 4.15646282e-02, 4.09801685e-02, 4.04050181e-02, 3.98393841e-02, 3.92832798e-02, 3.87371841e-02, 3.82009581e-02, 3.76746622e-02,
                3.71583868e-02, 3.66518222e-02, 3.61550780e-02, 3.56683473e-02, 3.51915379e-02, 3.47245449e-02, 3.42672344e-02, 3.38193012e-02, 3.33806895e-02,
                3.29512291e-02, 3.25308847e-02, 3.21193285e-02, 3.17164614e-02, 3.13221568e-02, 3.09361785e-02, 3.05582113e-02, 3.01881422e-02, 2.98258349e-02,
                2.94711302e-02, 2.91238041e-02, 2.87837188e-02, 2.84506132e-02, 2.81242291e-02, 2.78044137e-02, 2.74909233e-02, 2.71837184e-02, 2.68826137e-02,
                2.65873906e-02, 2.62978938e-02, 2.60139086e-02, 2.57353744e-02, 2.54621176e-02, 2.51939661e-02, 2.49307965e-02, 2.46724252e-02, 2.44187536e-02,
                2.41697078e-02, 2.39251323e-02, 2.36849186e-02, 2.34489563e-02, 2.32170990e-02, 2.29892621e-02, 2.27653218e-02, 2.25452012e-02, 2.23287671e-02,
                2.21159602e-02, 2.19066939e-02, 2.17008815e-02, 2.14984405e-02, 2.12992799e-02, 2.11032892e-02, 2.09104229e-02, 2.07205966e-02, 2.05337430e-02,
                2.03497846e-02, 2.01686528e-02, 1.99902796e-02, 1.98145963e-02, 1.96415481e-02, 1.94710719e-02, 1.93031220e-02, 1.91376149e-02, 1.89745092e-02,
                1.88137557e-02, 1.86553005e-02, 1.84990931e-02, 1.83450861e-02, 1.81932309e-02, 1.80434844e-02, 1.78958061e-02, 1.77501376e-02, 1.76064537e-02,
                1.74647066e-02, 1.73248534e-02, 1.71868550e-02, 1.70506779e-02, 1.69162827e-02, 1.67836347e-02, 1.66527047e-02, 1.65234592e-02, 1.63958690e-02,
                1.62699014e-02, 1.61455219e-02, 1.60227012e-02, 1.59014080e-02, 1.57816098e-02, 1.56632815e-02, 1.55463979e-02, 1.54309297e-02, 1.53168526e-02,
                1.52041390e-02, 1.50927640e-02, 1.49827109e-02, 1.48739473e-02, 1.47664535e-02, 1.46602094e-02, 1.45551900e-02, 1.44513728e-02, 1.43487392e-02,
                1.42472661e-02, 1.41469329e-02, 1.40477211e-02, 1.39496127e-02, 1.38525849e-02, 1.37566231e-02, 1.36617101e-02, 1.35678237e-02, 1.34749495e-02,
                1.33830706e-02, 1.32921734e-02, 1.32022340e-02, 1.31132469e-02, 1.30251920e-02, 1.29380527e-02, 1.28518174e-02, 1.27664677e-02, 1.26819942e-02,
                1.25983772e-02, 1.25156093e-02, 1.24336736e-02, 1.23525569e-02, 1.22722484e-02, 1.21927339e-02, 1.21140020e-02, 1.20360421e-02, 1.19588402e-02,
                1.18823871e-02, 1.18066707e-02, 1.17316812e-02, 1.16574042e-02, 1.15838328e-02, 1.15109557e-02, 1.14387614e-02, 1.13672417e-02, 1.12963851e-02,
                1.12261827e-02, 1.11566268e-02, 1.10877034e-02, 1.10194075e-02, 1.09517295e-02, 1.08846603e-02, 1.08181904e-02, 1.07523117e-02, 1.06870177e-02,
                1.06222993e-02, 1.05581465e-02, 1.04945543e-02, 1.04315138e-02, 1.03690175e-02, 1.03070571e-02, 1.02456275e-02, 1.01847195e-02, 1.01243271e-02,
                1.00644433e-02, 1.00050608e-02, 9.94617166e-03, 9.88777443e-03, 9.82985690e-03, 9.77241484e-03, 9.71544368e-03, 9.65893223e-03, 9.60288232e-03,
                9.54728092e-03, 9.49212736e-03, 9.43740919e-03, 9.38313242e-03, 9.32927805e-03, 9.27584818e-03, 9.22283985e-03, 9.17023729e-03, 9.11804824e-03,
                9.06625943e-03, 9.01486645e-03, 8.96386706e-03, 8.91325462e-03, 8.86302641e-03, 8.81317345e-03, 8.76369788e-03, 8.71458722e-03, 8.66584256e-03,
                8.61745861e-03, 8.56942858e-03, 8.52175114e-03, 8.47441827e-03, 8.42743226e-03, 8.38078309e-03, 8.33446722e-03, 8.28848507e-03, 8.24282697e-03,
                8.19749445e-03, 8.15247940e-03, 8.10778069e-03, 8.06339354e-03, 8.01931513e-03, 7.97554330e-03, 7.93206686e-03, 7.88889240e-03, 7.84601317e-03,
                7.80342148e-03, 7.76112140e-03, 7.71910078e-03, 7.67736497e-03, 7.63590473e-03, 7.59472144e-03, 7.55380737e-03, 7.51316488e-03, 7.47278603e-03,
                7.43266733e-03, 7.39281397e-03, 7.35321457e-03, 7.31386820e-03, 7.27477328e-03, 7.23592817e-03, 7.19732842e-03, 7.15896962e-03, 7.12085301e-03,
                7.08297418e-03, 7.04533087e-03, 7.00791744e-03, 6.97073599e-03, 6.93378251e-03, 6.89705279e-03, 6.86054662e-03, 6.82425978e-03, 6.78819260e-03,
                6.75233867e-03, 6.71669915e-03, 6.68127120e-03, 6.64605130e-03, 6.61103744e-03, 6.57622819e-03, 6.54162154e-03, 6.50721501e-03, 6.47300549e-03,
                6.43899402e-03, 6.40517316e-03, 6.37154547e-03, 6.33810807e-03, 6.30485745e-03, 6.27179442e-03, 6.23891194e-03, 6.20621355e-03, 6.17369538e-03,
                6.14135528e-03, 6.10919075e-03, 6.07720168e-03, 6.04538450e-03, 6.01373834e-03, 5.98226129e-03, 5.95095297e-03, 5.91980751e-03, 5.88882876e-03,
                5.85801003e-03, 5.82735346e-03, 5.79685582e-03, 5.76651443e-03, 5.73632897e-03, 5.70629860e-03, 5.67642094e-03, 5.64669153e-03, 5.61711586e-03,
                5.58768396e-03, 5.55839934e-03, 5.52926288e-03, 5.50026560e-03, 5.47141154e-03, 5.44269974e-03, 5.41412432e-03, 5.38568896e-03, 5.35738846e-03,
                5.32922281e-03, 5.30118995e-03, 5.27328998e-03, 5.24552229e-03, 5.21788110e-03, 5.19036923e-03, 5.16298337e-03, 5.13572344e-03, 5.10858793e-03,
                5.08157606e-03, 5.05468340e-03, 5.02791268e-03, 5.00126168e-03, 4.97472671e-03, 4.94830898e-03, 4.92200691e-03, 4.89582066e-03, 4.86974421e-03,
                4.84378047e-03, 4.81792882e-03, 4.79218523e-03, 4.76655111e-03, 4.74102291e-03, 4.71560204e-03, 4.69028491e-03, 4.66507211e-03, 4.63996200e-03,
                4.61495326e-03, 4.59004710e-03, 4.56523702e-03, 4.54052662e-03, 4.51591343e-03, 4.49139664e-03, 4.46697461e-03, 4.44264816e-03, 4.41841291e-03,
                4.39427050e-03, 4.37021880e-03, 4.34625754e-03, 4.32238495e-03, 4.29860078e-03, 4.27490212e-03, 4.25129095e-03, 4.22776331e-03, 4.20432315e-03,
                4.18095937e-03, 4.15768389e-03, 4.13448659e-03, 4.11137053e-03, 4.08833232e-03, 4.06537350e-03, 4.04249127e-03, 4.01968454e-03, 3.99695435e-03,
                3.97429840e-03, 3.95171478e-03, 3.92920403e-03, 3.90676681e-03, 3.88439787e-03, 3.86209884e-03, 3.83987132e-03, 3.81770809e-03, 3.79561313e-03,
                3.77358437e-03, 3.75162006e-03, 3.72972277e-03, 3.70788358e-03, 3.68611163e-03, 3.66439838e-03, 3.64274668e-03, 3.62115570e-03, 3.59962157e-03,
                3.57814626e-03, 3.55672849e-03, 3.53536429e-03, 3.51405650e-03, 3.49280374e-03, 3.47160427e-03, 3.45045699e-03, 3.42936032e-03, 3.40831414e-03,
                3.38731956e-03, 3.36637017e-03, 3.34547253e-03, 3.32462095e-03, 3.30381271e-03, 3.28305196e-03, 3.26233333e-03, 3.24165962e-03, 3.22102748e-03,
                3.20043715e-03, 3.17988757e-03, 3.15937646e-03, 3.13890167e-03, 3.11846851e-03, 3.09806912e-03, 3.07770621e-03, 3.05737613e-03, 3.03708194e-03,
                3.01681986e-03, 2.99658645e-03, 2.97638920e-03, 2.95621592e-03, 2.93607278e-03, 2.91595820e-03, 2.89586912e-03, 2.87580553e-03, 2.85576387e-03,
                2.83574979e-03, 2.81575333e-03, 2.79578007e-03, 2.77582726e-03, 2.75588945e-03, 2.73597221e-03, 2.71607236e-03, 2.69618373e-03, 2.67631070e-03,
                2.65645101e-03, 2.63660199e-03, 2.61676243e-03, 2.59693387e-03, 2.57710964e-03, 2.55729175e-03, 2.53748168e-03, 2.51767244e-03, 2.49786625e-03,
                2.47805991e-03, 2.45825252e-03, 2.43844180e-03, 2.41862894e-03, 2.39881023e-03, 2.37898134e-03, 2.35914841e-03, 2.33930087e-03, 2.31944276e-03,
                2.29956803e-03, 2.27968203e-03, 2.25977688e-03, 2.23984771e-03, 2.21990180e-03, 2.19993072e-03, 2.17993158e-03, 2.15990760e-03, 2.13985276e-03,
                2.11976400e-03, 2.09964132e-03, 2.07948144e-03, 2.05928283e-03, 2.03904116e-03, 2.01875058e-03, 1.99841782e-03, 1.97803210e-03, 1.95759172e-03,
                1.93709456e-03, 1.91653776e-03, 1.89591673e-03, 1.87523120e-03, 1.85447182e-03, 1.83363950e-03, 1.81272627e-03, 1.79173240e-03, 1.77065312e-03,
                1.74947942e-03, 1.72820773e-03, 1.70683691e-03, 1.68536023e-03, 1.66377007e-03, 1.64205972e-03, 1.62022792e-03, 1.59826153e-03, 1.57615979e-03,
                1.55391214e-03, 1.53151064e-03, 1.50894797e-03, 1.48621548e-03, 1.46330218e-03, 1.44019778e-03, 1.41689674e-03, 1.39338065e-03, 1.36963959e-03,
                1.34566197e-03, 1.32142912e-03, 1.29692930e-03, 1.27214553e-03, 1.24705396e-03, 1.22164152e-03, 1.19588102e-03, 1.16974746e-03, 1.14321747e-03,
                1.11625768e-03, 1.08883609e-03, 1.06091478e-03, 1.03245124e-03, 1.00339794e-03, 9.73700100e-04, 9.43293608e-04, 9.12107559e-04, 8.80056497e-04,
                8.47040084e-04, 8.12938561e-04, 7.77607331e-04, 7.40868478e-04, 7.02498295e-04, 6.62211963e-04, 6.19629197e-04, 5.74244862e-04, 5.25323224e-04,
                4.71764074e-04, 4.11762980e-04, 3.41940148e-04, 2.54331230e-04, 1.13351035e-04, -1.96232935e-04, 0.00000000e+00, 0.00000000e+00
        ]
)
Rxz_r2d6s2 = array(
        [
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00, 0.00000000e+00,
                0.00000000e+00, 5.88127594e-17, 3.37325306e-15, 2.10040274e-14, 9.22846624e-14, 2.89912401e-13, 6.63807373e-13, 1.22020509e-12, 2.04444244e-12,
                3.16069117e-12, 3.92397933e-12, 4.74466121e-12, 6.28571967e-12, 8.25200291e-12, 1.00379308e-11, 1.21396231e-11, 1.49496403e-11, 1.72987495e-11,
                1.85767343e-11, 1.51421768e-11, 3.87321891e-11, 4.33054500e-11, 2.67611770e-11, 2.12169671e-10, 8.18738372e-09, 2.35182980e-08, 3.29707016e-08,
                4.30328901e-08, 4.74522442e-08, 6.51782608e-08, 3.84886242e-07, 5.06927898e-07, 2.46805770e-07, 1.97752880e-08, 4.26742645e-07, 2.53463293e-07,
                -4.36593402e-07, -1.02031357e-06, -1.06543978e-06, -6.24755500e-07, -3.24252027e-07, -4.22044938e-07, 4.29810687e-08, 7.86826584e-07,
                1.51414595e-06, 2.13623921e-06, 3.20815099e-06, 6.40338783e-06, 1.14407283e-05, 1.45230607e-05, 1.20473457e-05, 5.06682578e-06, -2.78637465e-06,
                -1.08999415e-05, -1.98659911e-05, -2.35224190e-05, -1.86605255e-05, -7.96251274e-06, 3.32872697e-07, 6.07109531e-06, 1.41200594e-05,
                2.79572162e-05, 5.20701114e-05, 8.77836573e-05, 1.49725122e-04, 2.26933169e-04, 2.69030057e-04, 2.32857501e-04, 1.27566993e-04, 9.49766134e-06,
                -1.02044277e-04, -2.03500464e-04, -2.55441250e-04, -2.01576931e-04, -9.07554690e-05, 6.32805917e-07, 4.35517403e-05, 6.27109109e-05,
                1.07924303e-04, 2.30471227e-04, 4.98062135e-04, 1.01191927e-03, 1.62095177e-03, 1.98930178e-03, 1.90344541e-03, 1.44246538e-03, 8.05395687e-04,
                2.48975625e-04, -1.84758907e-04, -5.11949194e-04, -7.27463309e-04, -5.91708100e-04, -1.09138707e-04, 4.19542725e-04, 7.89050781e-04,
                1.31828008e-03, 2.22256877e-03, 3.73065420e-03, 5.84152155e-03, 8.04427838e-03, 9.36265076e-03, 9.64710630e-03, 9.08837014e-03, 7.85092197e-03,
                6.16560512e-03, 4.31695940e-03, 2.69979056e-03, 1.93019636e-03, 2.26238555e-03, -1.01569739e-03, 5.51341832e-04, 4.15273655e-03, 9.61102357e-03,
                1.71497108e-02, 2.79224145e-02, 4.25488757e-02, 6.17765414e-02, 8.60654777e-02, 1.16118712e-01, 1.52950468e-01, 1.97337037e-01, 2.50601018e-01,
                3.13811030e-01, 3.88061902e-01, 4.74430991e-01, 5.73902597e-01, 6.87367339e-01, 8.15579301e-01, 9.59179109e-01, 1.11867279e+00, 1.29446828e+00,
                1.48682609e+00, 1.69591289e+00, 1.92186727e+00, 2.16459575e+00, 2.42405082e+00, 2.69996188e+00, 2.99216913e+00, 3.30038679e+00, 3.62427488e+00,
                3.96347396e+00, 4.31765095e+00, 4.68621916e+00, 5.06886575e+00, 5.46505840e+00, 5.87431508e+00, 6.29614134e+00, 6.73022918e+00, 7.17590112e+00,
                7.63268078e+00, 8.10024177e+00, 8.57816309e+00, 9.06594116e+00, 9.56323484e+00, 1.00696323e+01, 1.05846919e+01, 1.11079237e+01, 1.16384699e+01,
                1.21765156e+01, 1.27211769e+01, 1.32722664e+01, 1.38294935e+01, 1.43918686e+01, 1.49596845e+01, 1.55317193e+01, 1.61076607e+01, 1.66875427e+01,
                1.72703108e+01, 1.78556545e+01, 1.84429073e+01, 1.90317918e+01, 1.96220188e+01, 2.02126329e+01, 2.08034263e+01, 2.13936191e+01, 2.19827967e+01,
                2.25707668e+01, 2.31565881e+01, 2.37393302e+01, 2.43185809e+01, 2.48942770e+01, 2.54658675e+01, 2.60321869e+01, 2.65933717e+01, 2.71486715e+01,
                2.76974975e+01, 2.82394370e+01, 2.87739901e+01, 2.93010635e+01, 2.98195155e+01, 3.03291916e+01, 3.08302645e+01, 3.13216967e+01, 3.18030579e+01,
                3.22739902e+01, 3.27346888e+01, 3.31843954e+01, 3.36224022e+01, 3.40487301e+01, 3.44634720e+01, 3.48659381e+01, 3.52560103e+01, 3.56333629e+01,
                3.59981846e+01, 3.63506300e+01, 3.66902622e+01, 3.70165977e+01, 3.73298916e+01, 3.76301724e+01, 3.79178517e+01, 3.81920516e+01, 3.84529749e+01,
                3.87012531e+01, 3.89366853e+01, 3.91592857e+01, 3.93691738e+01, 3.95669144e+01, 3.97524288e+01, 3.99254213e+01, 4.00868666e+01, 4.02366301e+01,
                4.03749653e+01, 4.05022194e+01, 4.06188088e+01, 4.07249919e+01, 4.08212703e+01, 4.09070843e+01, 4.09838752e+01, 4.10520042e+01, 4.11112092e+01,
                4.11619494e+01, 4.12047905e+01, 4.12400797e+01, 4.12677628e+01, 4.12886142e+01, 4.13027157e+01, 4.13106834e+01, 4.13126256e+01, 4.13089287e+01,
                4.12998457e+01, 4.12858327e+01, 4.12667417e+01, 4.12431437e+01, 4.12152813e+01, 4.11834735e+01, 4.11481890e+01, 4.11089939e+01, 4.10664922e+01,
                4.10211379e+01, 4.09728674e+01, 4.09217800e+01, 4.08682238e+01, 4.08123759e+01, 4.07542701e+01, 4.06941064e+01, 4.06321897e+01, 4.05685663e+01,
                4.05032562e+01, 4.04364906e+01, 4.03681387e+01, 4.02987044e+01, 4.02281720e+01, 4.01565228e+01, 4.00839230e+01, 4.00104139e+01, 3.99360357e+01,
                3.98608858e+01, 3.97849427e+01, 3.97083807e+01, 3.96311643e+01, 3.95534170e+01, 3.94751671e+01, 3.93964435e+01, 3.93172156e+01, 3.92375959e+01,
                3.91576138e+01, 3.90772335e+01, 3.89965419e+01, 3.89155454e+01, 3.88342417e+01, 3.87526734e+01, 3.86708462e+01, 3.85887712e+01, 3.85065253e+01,
                3.84240600e+01, 3.83414163e+01, 3.82585737e+01, 3.81755463e+01, 3.80923934e+01, 3.80090330e+01, 3.79255604e+01, 3.78419373e+01, 3.77581693e+01,
                3.76743157e+01, 3.75903362e+01, 3.75062442e+01, 3.74220429e+01, 3.73377299e+01, 3.72533172e+01, 3.71688123e+01, 3.70842081e+01, 3.69995093e+01,
                3.69147341e+01, 3.68298779e+01, 3.67449404e+01, 3.66599137e+01, 3.65748175e+01, 3.64896402e+01, 3.64043840e+01, 3.63190566e+01, 3.62336642e+01,
                3.61482056e+01, 3.60626856e+01, 3.59770973e+01, 3.58914457e+01, 3.58057382e+01, 3.57199684e+01, 3.56341342e+01, 3.55482474e+01, 3.54622991e+01,
                3.53762863e+01, 3.52902230e+01, 3.52041067e+01, 3.51179442e+01, 3.50317269e+01, 3.49454556e+01, 3.48591409e+01, 3.47727710e+01, 3.46863534e+01,
                3.45998861e+01, 3.45133716e+01, 3.44268076e+01, 3.43401981e+01, 3.42535413e+01, 3.41668422e+01, 3.40800991e+01, 3.39933115e+01, 3.39064806e+01,
                3.38196041e+01, 3.37326860e+01, 3.36457278e+01, 3.35587230e+01, 3.34716802e+01, 3.33845946e+01, 3.32974703e+01, 3.32103066e+01, 3.31231028e+01,
                3.30358607e+01, 3.29485845e+01, 3.28612675e+01, 3.27739162e+01, 3.26865251e+01, 3.25991000e+01, 3.25116388e+01, 3.24241423e+01, 3.23366117e+01,
                3.22490484e+01, 3.21614514e+01, 3.20738209e+01, 3.19861581e+01, 3.18984644e+01, 3.18107389e+01, 3.17229815e+01, 3.16351935e+01, 3.15473751e+01,
                3.14595269e+01, 3.13716492e+01, 3.12837424e+01, 3.11958069e+01, 3.11078431e+01, 3.10198513e+01, 3.09318319e+01, 3.08437854e+01, 3.07557120e+01,
                3.06676121e+01, 3.05794860e+01, 3.04913343e+01, 3.04031571e+01, 3.03149548e+01, 3.02267279e+01, 3.01384765e+01, 3.00502012e+01, 2.99619021e+01,
                2.98735797e+01, 2.97852342e+01, 2.96968660e+01, 2.96084755e+01, 2.95200629e+01, 2.94316285e+01, 2.93431727e+01, 2.92546957e+01, 2.91661980e+01,
                2.90776797e+01, 2.89891412e+01, 2.89005827e+01, 2.88120047e+01, 2.87234073e+01, 2.86347908e+01, 2.85461555e+01, 2.84575018e+01, 2.83688298e+01,
                2.82801399e+01, 2.81914323e+01, 2.81027074e+01, 2.80139652e+01, 2.79252062e+01, 2.78364306e+01, 2.77476386e+01, 2.76588305e+01, 2.75700065e+01,
                2.74811669e+01, 2.73923119e+01, 2.73034418e+01, 2.72145567e+01, 2.71256570e+01, 2.70367429e+01, 2.69478145e+01, 2.68588722e+01, 2.67699161e+01,
                2.66809465e+01, 2.65919635e+01, 2.65029674e+01, 2.64139584e+01, 2.63249367e+01, 2.62359026e+01, 2.61468561e+01, 2.60577976e+01, 2.59687271e+01,
                2.58796450e+01, 2.57905514e+01, 2.57014464e+01, 2.56123304e+01, 2.55232033e+01, 2.54340656e+01, 2.53449172e+01, 2.52557585e+01, 2.51665895e+01,
                2.50774104e+01, 2.49882215e+01, 2.48990228e+01, 2.48098146e+01, 2.47205969e+01, 2.46313701e+01, 2.45421341e+01, 2.44528892e+01, 2.43636356e+01,
                2.42743733e+01, 2.41851025e+01, 2.40958234e+01, 2.40065362e+01, 2.39172408e+01, 2.38279376e+01, 2.37386266e+01, 2.36493080e+01, 2.35599818e+01,
                2.34706483e+01, 2.33813076e+01, 2.32919597e+01, 2.32026049e+01, 2.31132431e+01, 2.30238747e+01, 2.29344996e+01, 2.28451180e+01, 2.27557299e+01,
                2.26663357e+01, 2.25769352e+01, 2.24875287e+01, 2.23981162e+01, 2.23086978e+01, 2.22192738e+01, 2.21298440e+01, 2.20404088e+01, 2.19509681e+01,
                2.18615220e+01, 2.17720707e+01, 2.16826143e+01, 2.15931528e+01, 2.15036863e+01, 2.14142149e+01, 2.13247387e+01, 2.12352578e+01, 2.11457723e+01,
                2.10562823e+01, 2.09667878e+01, 2.08772889e+01, 2.07877857e+01, 2.06982783e+01, 2.06087668e+01, 2.05192512e+01, 2.04297315e+01, 2.03402080e+01,
                2.02506806e+01, 2.01611494e+01, 2.00716145e+01, 1.99820759e+01, 1.98925338e+01, 1.98029881e+01, 1.97134390e+01, 1.96238865e+01, 1.95343307e+01,
                1.94447715e+01, 1.93552092e+01, 1.92656437e+01, 1.91760751e+01, 1.90865034e+01, 1.89969288e+01, 1.89073512e+01, 1.88177707e+01, 1.87281874e+01,
                1.86386013e+01, 1.85490124e+01, 1.84594209e+01, 1.83698267e+01, 1.82802300e+01, 1.81906306e+01, 1.81010288e+01, 1.80114245e+01, 1.79218178e+01,
                1.78322087e+01, 1.77425973e+01, 1.76529835e+01, 1.75633675e+01, 1.74737493e+01, 1.73841289e+01, 1.72945064e+01, 1.72048817e+01, 1.71152550e+01,
                1.70256262e+01, 1.69359954e+01, 1.68463627e+01, 1.67567280e+01, 1.66670914e+01, 1.65774529e+01, 1.64878126e+01, 1.63981704e+01, 1.63085264e+01,
                1.62188807e+01, 1.61292333e+01, 1.60395841e+01, 1.59499333e+01, 1.58602808e+01, 1.57706267e+01, 1.56809709e+01, 1.55913136e+01, 1.55016548e+01,
                1.54119943e+01, 1.53223324e+01, 1.52326690e+01, 1.51430041e+01, 1.50533378e+01, 1.49636701e+01, 1.48740009e+01, 1.47843303e+01, 1.46946584e+01,
                1.46049852e+01, 1.45153106e+01, 1.44256346e+01, 1.43359574e+01, 1.42462789e+01, 1.41565992e+01, 1.40669182e+01, 1.39772359e+01, 1.38875525e+01,
                1.37978678e+01, 1.37081820e+01, 1.36184950e+01, 1.35288068e+01, 1.34391175e+01, 1.33494270e+01, 1.32597355e+01, 1.31700428e+01, 1.30803490e+01,
                1.29906542e+01, 1.29009582e+01, 1.28112612e+01, 1.27215632e+01, 1.26318641e+01, 1.25421640e+01, 1.24524629e+01, 1.23627608e+01, 1.22730577e+01,
                1.21833536e+01, 1.20936485e+01, 1.20039424e+01, 1.19142354e+01, 1.18245274e+01, 1.17348185e+01, 1.16451087e+01, 1.15553979e+01, 1.14656862e+01,
                1.13759736e+01, 1.12862600e+01, 1.11965456e+01, 1.11068303e+01, 1.10171141e+01, 1.09273970e+01, 1.08376791e+01, 1.07479603e+01, 1.06582406e+01,
                1.05685200e+01, 1.04787987e+01, 1.03890764e+01, 1.02993534e+01, 1.02096295e+01, 1.01199047e+01, 1.00301792e+01, 9.94045281e+00, 9.85072563e+00,
                9.76099763e+00, 9.67126884e+00, 9.58153924e+00, 9.49180885e+00, 9.40207766e+00, 9.31234569e+00, 9.22261293e+00, 9.13287939e+00, 9.04314508e+00,
                8.95340999e+00, 8.86367413e+00, 8.77393751e+00, 8.68420013e+00, 8.59446198e+00, 8.50472308e+00, 8.41498342e+00, 8.32524302e+00, 8.23550186e+00,
                8.14575997e+00, 8.05601733e+00, 7.96627394e+00, 7.87652983e+00, 7.78678498e+00, 7.69703939e+00, 7.60729308e+00, 7.51754604e+00, 7.42779827e+00,
                7.33804978e+00, 7.24830057e+00, 7.15855064e+00, 7.06880000e+00, 6.97904864e+00, 6.88929656e+00, 6.79954377e+00, 6.70979027e+00, 6.62003606e+00,
                6.53028115e+00, 6.44052553e+00, 6.35076920e+00, 6.26101217e+00, 6.17125443e+00, 6.08149599e+00, 5.99173685e+00, 5.90197701e+00, 5.81221647e+00,
                5.72245523e+00, 5.63269329e+00, 5.54293065e+00, 5.45316730e+00, 5.36340326e+00, 5.27363852e+00, 5.18387307e+00, 5.09410692e+00, 5.00434006e+00,
                4.91457250e+00, 4.82480423e+00, 4.73503525e+00, 4.64526555e+00, 4.55549513e+00, 4.46572400e+00, 4.37595213e+00, 4.28617954e+00, 4.19640621e+00,
                4.10663214e+00, 4.01685731e+00, 3.92708172e+00, 3.83730537e+00, 3.74752823e+00, 3.65775030e+00, 3.56797156e+00, 3.47819199e+00, 3.38841158e+00,
                3.29863031e+00, 3.20884815e+00, 3.11906508e+00, 3.02928106e+00, 2.93949606e+00, 2.84971003e+00, 2.75992294e+00, 2.67013472e+00, 2.58034531e+00,
                2.49055465e+00, 2.40076264e+00, 2.31096918e+00, 2.22117416e+00, 2.13137744e+00, 2.04157885e+00, 1.95177820e+00, 1.86197523e+00, 1.77216968e+00,
                1.68236116e+00, 1.59254926e+00, 1.50273340e+00, 1.41291289e+00, 1.32308683e+00, 1.23325406e+00, 1.14341303e+00, 1.05356164e+00, 9.63697008e-01,
                8.73815014e-01, 7.83909627e-01, 6.93971629e-01, 6.03986224e-01, 5.13928111e-01, 4.23750231e-01, 3.33354082e-01, 2.42492957e-01, 1.50319069e-01,
                5.00043616e-02, -3.87168416e-02, 0.00000000e+00, 0.00000000e+00
        ]
)
gravityTerm_r2d6s2 = array(
        [
                1.09012210e+02, 1.08842756e+02, 1.08673146e+02, 1.08503473e+02, 1.08333695e+02, 1.08163908e+02, 1.07994261e+02, 1.07824977e+02, 1.07656019e+02,
                1.07487303e+02, 1.07318664e+02, 1.07150099e+02, 1.06981686e+02, 1.06813487e+02, 1.06645587e+02, 1.06477864e+02, 1.06310279e+02, 1.06142733e+02,
                1.05975254e+02, 1.05807914e+02, 1.05640668e+02, 1.05473456e+02, 1.05306102e+02, 1.05138507e+02, 1.04970554e+02, 1.04802154e+02, 1.04633203e+02,
                1.04463638e+02, 1.04293658e+02, 1.04123447e+02, 1.03952960e+02, 1.03782151e+02, 1.03611031e+02, 1.03439678e+02, 1.03268089e+02, 1.03096243e+02,
                1.02924294e+02, 1.02752321e+02, 1.02580436e+02, 1.02408821e+02, 1.02237496e+02, 1.02066391e+02, 1.01895357e+02, 1.01724317e+02, 1.01553192e+02,
                1.01381992e+02, 1.01210769e+02, 1.01039521e+02, 1.00868267e+02, 1.00696967e+02, 1.00525579e+02, 1.00354018e+02, 1.00182297e+02, 1.00010394e+02,
                9.98383039e+01, 9.96659631e+01, 9.94933538e+01, 9.93204053e+01, 9.91470857e+01, 9.89735067e+01, 9.87997508e+01, 9.86259956e+01, 9.84523767e+01,
                9.82789552e+01, 9.81056994e+01, 9.79326109e+01, 9.77597061e+01, 9.75869983e+01, 9.74144824e+01, 9.72421621e+01, 9.70700069e+01, 9.68979863e+01,
                9.67260647e+01, 9.65541769e+01, 9.63822146e+01, 9.62100790e+01, 9.60376843e+01, 9.58649458e+01, 9.56918355e+01, 9.55182981e+01, 9.53443592e+01,
                9.51700762e+01, 9.49955400e+01, 9.48208034e+01, 9.46459442e+01, 9.44710593e+01, 9.42961999e+01, 9.41213849e+01, 9.39466159e+01, 9.37718695e+01,
                9.35971368e+01, 9.34224945e+01, 9.32480584e+01, 9.30738994e+01, 9.29000336e+01, 9.27264811e+01, 9.25532241e+01, 9.23802547e+01, 9.22075322e+01,
                9.20350104e+01, 9.18626463e+01, 9.16903957e+01, 9.15181839e+01, 9.13458835e+01, 9.11734069e+01, 9.10006733e+01, 9.08276247e+01, 9.06542271e+01,
                9.04804654e+01, 9.03063406e+01, 9.01318749e+01, 8.99571153e+01, 8.97821184e+01, 8.96069762e+01, 8.94317478e+01, 8.92564887e+01, 8.90812541e+01,
                8.89061470e+01, 8.87312535e+01, 8.85566372e+01, 8.83823062e+01, 8.82082608e+01, 8.80344977e+01, 8.78610121e+01, 8.76877860e+01, 8.75147940e+01,
                8.73419885e+01, 8.71693058e+01, 8.69966976e+01, 8.68241216e+01, 8.66515519e+01, 8.64789316e+01, 8.63062068e+01, 8.61333220e+01, 8.59602346e+01,
                8.57868918e+01, 8.56132570e+01, 8.54393254e+01, 8.52651104e+01, 8.50906454e+01, 8.49159818e+01, 8.47411824e+01, 8.45663200e+01, 8.43914573e+01,
                8.42166706e+01, 8.40420263e+01, 8.38675834e+01, 8.36933672e+01, 8.35193944e+01, 8.33456643e+01, 8.31721951e+01, 8.29989971e+01, 8.28260571e+01,
                8.26533696e+01, 8.24809251e+01, 8.23086868e+01, 8.21365916e+01, 8.19645615e+01, 8.17925256e+01, 8.16204263e+01, 8.14482187e+01, 8.12758779e+01,
                8.11033778e+01, 8.09307078e+01, 8.07578374e+01, 8.05847365e+01, 8.04113912e+01, 8.02378144e+01, 8.00640354e+01, 7.98900964e+01, 7.97160514e+01,
                7.95419543e+01, 7.93678539e+01, 7.91938015e+01, 7.90198521e+01, 7.88460582e+01, 7.86724623e+01, 7.84990956e+01, 7.83259714e+01, 7.81530825e+01,
                7.79804146e+01, 7.78079517e+01, 7.76356730e+01, 7.74635562e+01, 7.72915667e+01, 7.71196645e+01, 7.69478213e+01, 7.67759973e+01, 7.66041490e+01,
                7.64322509e+01, 7.62602770e+01, 7.60881992e+01, 7.59159945e+01, 7.57436620e+01, 7.55712045e+01, 7.53986303e+01, 7.52259480e+01, 7.50531710e+01,
                7.48803207e+01, 7.47074351e+01, 7.45345621e+01, 7.43617436e+01, 7.41890201e+01, 7.40164290e+01, 7.38439994e+01, 7.36717550e+01, 7.34997088e+01,
                7.33278628e+01, 7.31562123e+01, 7.29847431e+01, 7.28134427e+01, 7.26422862e+01, 7.24712361e+01, 7.23002591e+01, 7.21293174e+01, 7.19583829e+01,
                7.17874254e+01, 7.16164279e+01, 7.14453698e+01, 7.12742359e+01, 7.11030160e+01, 7.09317073e+01, 7.07603187e+01, 7.05888583e+01, 7.04173403e+01,
                7.02457825e+01, 7.00742154e+01, 6.99026642e+01, 6.97311601e+01, 6.95597303e+01, 6.93883983e+01, 6.92171904e+01, 6.90461316e+01, 6.88752404e+01,
                6.87045298e+01, 6.85340082e+01, 6.83636819e+01, 6.81935472e+01, 6.80235972e+01, 6.78538188e+01, 6.76841930e+01, 6.75146991e+01, 6.73453195e+01,
                6.71760335e+01, 6.70068155e+01, 6.68376373e+01, 6.66684780e+01, 6.64993204e+01, 6.63301564e+01, 6.61609743e+01, 6.59917725e+01, 6.58225507e+01,
                6.56533154e+01, 6.54840810e+01, 6.53148684e+01, 6.51457014e+01, 6.49766076e+01, 6.48076143e+01, 6.46387492e+01, 6.44700372e+01, 6.43015037e+01,
                6.41331761e+01, 6.39650747e+01, 6.37972143e+01, 6.36296070e+01, 6.34622601e+01, 6.32951751e+01, 6.31283479e+01, 6.29617751e+01, 6.27954497e+01,
                6.26293603e+01, 6.24634940e+01, 6.22978336e+01, 6.21323596e+01, 6.19670606e+01, 6.18019223e+01, 6.16369357e+01, 6.14720904e+01, 6.13073881e+01,
                6.11428350e+01, 6.09784431e+01, 6.08142269e+01, 6.06502058e+01, 6.04864134e+01, 6.03228811e+01, 6.01596436e+01, 5.99967432e+01, 5.98342270e+01,
                5.96721453e+01, 5.95105473e+01, 5.93494834e+01, 5.91889973e+01, 5.90291332e+01, 5.88699330e+01, 5.87114387e+01, 5.85536847e+01, 5.83966995e+01,
                5.82405117e+01, 5.80851450e+01, 5.79306126e+01, 5.77769256e+01, 5.76240912e+01, 5.74721144e+01, 5.73209972e+01, 5.71707369e+01, 5.70213281e+01,
                5.68727641e+01, 5.67250335e+01, 5.65781191e+01, 5.64320068e+01, 5.62866792e+01, 5.61421250e+01, 5.59983290e+01, 5.58552725e+01, 5.57129361e+01,
                5.55713062e+01, 5.54303697e+01, 5.52901118e+01, 5.51505194e+01, 5.50115756e+01, 5.48732662e+01, 5.47355790e+01, 5.45984993e+01, 5.44620128e+01,
                5.43261015e+01, 5.41907472e+01, 5.40559352e+01, 5.39216481e+01, 5.37878694e+01, 5.36545797e+01, 5.35217622e+01, 5.33894003e+01, 5.32574756e+01,
                5.31259680e+01, 5.29948592e+01, 5.28641321e+01, 5.27337670e+01, 5.26037504e+01, 5.24740705e+01, 5.23447165e+01, 5.22156772e+01, 5.20869403e+01,
                5.19584985e+01, 5.18303463e+01, 5.17024789e+01, 5.15748919e+01, 5.14475789e+01, 5.13205372e+01, 5.11937655e+01, 5.10672647e+01, 5.09410382e+01,
                5.08150877e+01, 5.06894124e+01, 5.05640175e+01, 5.04389078e+01, 5.03140833e+01, 5.01895446e+01, 5.00652923e+01, 4.99413329e+01, 4.98176706e+01,
                4.96943131e+01, 4.95712669e+01, 4.94485391e+01, 4.93261346e+01, 4.92040622e+01, 4.90823260e+01, 4.89609309e+01, 4.88398853e+01, 4.87191959e+01,
                4.85988697e+01, 4.84789148e+01, 4.83593391e+01, 4.82401532e+01, 4.81213636e+01, 4.80029768e+01, 4.78850047e+01, 4.77674584e+01, 4.76503496e+01,
                4.75336893e+01, 4.74174871e+01, 4.73017557e+01, 4.71865052e+01, 4.70717486e+01, 4.69574966e+01, 4.68437591e+01, 4.67305463e+01, 4.66178715e+01,
                4.65057420e+01, 4.63941633e+01, 4.62831393e+01, 4.61726756e+01, 4.60627806e+01, 4.59534596e+01, 4.58447196e+01, 4.57365652e+01, 4.56290003e+01,
                4.55220273e+01, 4.54156467e+01, 4.53098555e+01, 4.52046522e+01, 4.51000360e+01, 4.49960031e+01, 4.48925491e+01, 4.47896665e+01, 4.46873480e+01,
                4.45855857e+01, 4.44843687e+01, 4.43836876e+01, 4.42835324e+01, 4.41838919e+01, 4.40847539e+01, 4.39861057e+01, 4.38879336e+01, 4.37902241e+01,
                4.36929608e+01, 4.35961282e+01, 4.34997102e+01, 4.34036901e+01, 4.33080531e+01, 4.32127835e+01, 4.31178634e+01, 4.30232756e+01, 4.29290030e+01,
                4.28350287e+01, 4.27413379e+01, 4.26479150e+01, 4.25547453e+01, 4.24618135e+01, 4.23691058e+01, 4.22766085e+01, 4.21843076e+01, 4.20921905e+01,
                4.20002457e+01, 4.19084621e+01, 4.18168284e+01, 4.17253335e+01, 4.16339674e+01, 4.15427198e+01, 4.14515821e+01, 4.13605463e+01, 4.12696050e+01,
                4.11787517e+01, 4.10879792e+01, 4.09972807e+01, 4.09066506e+01, 4.08160833e+01, 4.07255745e+01, 4.06351190e+01, 4.05447125e+01, 4.04543511e+01,
                4.03640310e+01, 4.02737494e+01, 4.01835032e+01, 4.00932889e+01, 4.00031039e+01, 3.99129455e+01, 3.98228112e+01, 3.97326990e+01, 3.96426070e+01,
                3.95525333e+01, 3.94624764e+01, 3.93724350e+01, 3.92824077e+01, 3.91923930e+01, 3.91023896e+01, 3.90123963e+01, 3.89224119e+01, 3.88324360e+01,
                3.87424676e+01, 3.86525060e+01, 3.85625504e+01, 3.84726003e+01, 3.83826551e+01, 3.82927145e+01, 3.82027780e+01, 3.81128453e+01, 3.80229160e+01,
                3.79329898e+01, 3.78430665e+01, 3.77531458e+01, 3.76632276e+01, 3.75733117e+01, 3.74833979e+01, 3.73934860e+01, 3.73035759e+01, 3.72136675e+01,
                3.71237605e+01, 3.70338550e+01, 3.69439509e+01, 3.68540480e+01, 3.67641463e+01, 3.66742457e+01, 3.65843463e+01, 3.64944480e+01, 3.64045507e+01,
                3.63146544e+01, 3.62247590e+01, 3.61348644e+01, 3.60449704e+01, 3.59550769e+01, 3.58651840e+01, 3.57752915e+01, 3.56853994e+01, 3.55955078e+01,
                3.55056166e+01, 3.54157258e+01, 3.53258353e+01, 3.52359451e+01, 3.51460553e+01, 3.50561657e+01, 3.49662763e+01, 3.48763871e+01, 3.47864980e+01,
                3.46966091e+01, 3.46067202e+01, 3.45168313e+01, 3.44269426e+01, 3.43370539e+01, 3.42471652e+01, 3.41572766e+01, 3.40673881e+01, 3.39774996e+01,
                3.38876111e+01, 3.37977227e+01, 3.37078344e+01, 3.36179461e+01, 3.35280579e+01, 3.34381697e+01, 3.33482815e+01, 3.32583934e+01, 3.31685053e+01,
                3.30786173e+01, 3.29887292e+01, 3.28988412e+01, 3.28089531e+01, 3.27190652e+01, 3.26291772e+01, 3.25392893e+01, 3.24494015e+01, 3.23595137e+01,
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)
